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SHIFT OPERATOR

  • Shift operator
  • Linear mathematical operator which translates a function

    in particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation

    Shift operator

    Shift_operator

  • Bitwise operation
  • Computer operation which manipulates invidual bits of data

    "<<<" operator in Java. More details of Java shift operators: The operators << (left shift), >> (signed right shift), and >>> (unsigned right shift) are

    Bitwise operation

    Bitwise_operation

  • Bitwise operations in C
  • Operations transforming individual bits of integral data types

    01110000 There are two bitwise shift operators. They are Right shift (>>) Left shift (<<) The symbol of right shift operator is >>. For its operation, it

    Bitwise operations in C

    Bitwise_operations_in_C

  • Unilateral shift operator
  • Operator on a Hilbert space that shifts basis vectors

    In operator theory, the unilateral shift is a one-sided shift operator, that is, a shift operator acting on one-sided sequences or shift spaces. The term

    Unilateral shift operator

    Unilateral_shift_operator

  • Logical shift
  • Bit-level computer operation

    logical right shift operator is >>>, but the arithmetic right shift operator is >>. (Java has only one left shift operator (<<), because left shift via logic

    Logical shift

    Logical_shift

  • Arithmetic shift
  • Shift operator in computer programming

    In computer programming, an arithmetic shift is a shift operator, sometimes termed a signed shift (though it is not restricted to signed operands). The

    Arithmetic shift

    Arithmetic shift

    Arithmetic_shift

  • Baker's map
  • Chaotic map from the unit square into itself

    and compressed. The baker's map can be understood as the bilateral shift operator of a bi-infinite two-state lattice model. The baker's map is topologically

    Baker's map

    Baker's map

    Baker's_map

  • Operators in C and C++
  • an operator is also in C. Note that C does not support operator overloading. When not overloaded, for the operators &&, ||, and , (the comma operator),

    Operators in C and C++

    Operators_in_C_and_C++

  • Baire space (set theory)
  • Concept in set theory

    uniform convergence. The shift map, acting on this space of functions, is then the GKW operator. The Haar measure of the shift operator, that is, a function

    Baire space (set theory)

    Baire_space_(set_theory)

  • Composition operator
  • Linear operator in mathematics

    When the transfer operator is a left-shift operator, the Koopman operator, as its adjoint, can be taken to be the right-shift operator. An appropriate basis

    Composition operator

    Composition_operator

  • Greater-than sign
  • Mathematical symbol for "greater than"

    of the closing guillemet, ». In Java, C, and C++, the operator >> is the right-shift operator. In C++ it is also used to get input from a stream, similar

    Greater-than sign

    Greater-than_sign

  • Displacement operator
  • Mathematical operator in quantum optics

    mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, D ^ ( α ) = exp ⁡ ( α a ^ † − α ∗

    Displacement operator

    Displacement_operator

  • Right shift
  • Topics referred to by the same term

    Right shift may refer to: Logical right shift, a computer operation Arithmetic right shift, a computer operation Shift operator § Sequences, a linear

    Right shift

    Right_shift

  • Spectrum (functional analysis)
  • Set of eigenvalues of a matrix

    spectrum, and may have no eigenvalues. For example, consider the right shift operator R on the Hilbert space ℓ2, ( x 1 , x 2 , … ) ↦ ( 0 , x 1 , x 2 , … )

    Spectrum (functional analysis)

    Spectrum_(functional_analysis)

  • Jacobi operator
  • Linear operator

    the Hessenberg operator that generalizes the tridiagonal Jacobi operator J for this situation. Note that D is the right-shift operator on the Bergman

    Jacobi operator

    Jacobi_operator

  • Delta operator
  • In mathematics, a delta operator is a shift-equivariant linear operator Q : K [ x ] ⟶ K [ x ] {\displaystyle Q\colon \mathbb {K} [x]\longrightarrow \mathbb

    Delta operator

    Delta_operator

  • Left shift
  • Topics referred to by the same term

    computer operation Shift operator § Sequences, a linear operator in functional analysis Shift matrix, the finite-dimensional analogue Left Shift key, a key on

    Left shift

    Left_shift

  • Translation operator (quantum mechanics)
  • Operator shifting particles and fields by a certain amount in a certain direction

    translation operator is defined as an operator which shifts particles and fields by a certain amount in a certain direction. It is a special case of the shift operator

    Translation operator (quantum mechanics)

    Translation_operator_(quantum_mechanics)

  • Bernoulli scheme
  • Generalization of the Bernoulli process to more than two possible outcomes

    to that of the Bernoulli shift. This is essentially the Markov partition. The term shift is in reference to the shift operator, which may be used to study

    Bernoulli scheme

    Bernoulli_scheme

  • Fredholm operator
  • Part of Fredholm theories in integral equations

    unilateral shift operator S on H is defined by S ( e n ) = e n + 1 , n ≥ 0. {\displaystyle S(e_{n})=e_{n+1},\quad n\geq 0.\,} This operator S is injective

    Fredholm operator

    Fredholm_operator

  • Transfer operator
  • Operator encoding information about iterated map

    the transfer operator can usually be interpreted as a (left-)shift operator acting on a shift space. The most commonly studied shifts are the subshifts

    Transfer operator

    Transfer_operator

  • Shift
  • Topics referred to by the same term

    cryptography Logical shift Shift key, a key on a computer or typewriter keyboard Shift operator, a linear operator in mathematics Shift (ice hockey), a group

    Shift

    Shift

  • Gauss–Kuzmin–Wirsing operator
  • Mathematical concept

    the operator is limited to act on functions on the unit interval of the real number line. More broadly, since the Gauss map is the shift operator on Baire

    Gauss–Kuzmin–Wirsing operator

    Gauss–Kuzmin–Wirsing_operator

  • Operator theory
  • Mathematical study of linear operators

    mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may

    Operator theory

    Operator_theory

  • Subshift of finite type
  • Type of shift space studied in ergodic theory

    T be the left shift operator on such sequences; it plays the role of the time-evolution operator of the dynamical system. An edge shift is then defined

    Subshift of finite type

    Subshift_of_finite_type

  • Optical phase space
  • Phase space used in quantum optics

    illustrates the effects of the phase-shifting operator on coherent states. The displacement operator is a unitary operator that takes a coherent state and

    Optical phase space

    Optical phase space

    Optical_phase_space

  • Verschiebung operator
  • Mathematical homomorphism

    Witt (1937) as the shift operator on Witt vectors taking (a0, a1, a2, ...) to (0, a0, a1, ...). ("Verschiebung" is German for "shift", but the term "Verschiebung"

    Verschiebung operator

    Verschiebung_operator

  • Time-invariant system
  • Dynamical system whose system function is not directly dependent on time

    the shift operator by T r {\displaystyle \mathbb {T} _{r}} where r {\displaystyle r} is the amount by which a vector's index set should be shifted. For

    Time-invariant system

    Time-invariant_system

  • Maximal munch
  • Longest-match principle in parsing

    interpreted as the right-shift operator >>. Prior to C++11, the following code would produce a parse error, because the right-shift operator token is encountered

    Maximal munch

    Maximal_munch

  • Translation operator
  • Topics referred to by the same term

    Translation operator can refer to these things: Translation operator (quantum mechanics) Shift operator, which effects a geometric translation Translation

    Translation operator

    Translation_operator

  • Unitary operator
  • Surjective bounded operator on a Hilbert space preserving the inner product

    unitary operators on Rn. The bilateral shift on the sequence space ℓ2 indexed by the integers is unitary. The unilateral shift (right shift) is an isometry;

    Unitary operator

    Unitary_operator

  • Alexei Borisovich Aleksandrov
  • Russian mathematician

    thesis Hardy Classes Hp for p∈(0,1) (Rational Approximation, Backward Shift Operator, Cauchy-Stieltjes Type Integral (title translated from the Russian)

    Alexei Borisovich Aleksandrov

    Alexei_Borisovich_Aleksandrov

  • Quantum walk
  • Quantum variations of random walks

    specified by the product of two unitary operators: (1) a "coin flip" operator and (2) a conditional shift operator, which are applied repeatedly. The following

    Quantum walk

    Quantum_walk

  • Banach limit
  • Mathematical term

    where S {\displaystyle S} is the shift operator defined by ( S x ) n = x n + 1 {\displaystyle (Sx)_{n}=x_{n+1}} (shift-invariance); if x {\displaystyle

    Banach limit

    Banach_limit

  • Algebraic signal processing
  • of a generator g ∈ G {\displaystyle g\in {\mathcal {G}}} is called a shift operator. In all practically all examples, convolutions are formed as polynomials

    Algebraic signal processing

    Algebraic_signal_processing

  • OpenAI Operator
  • Discontinued AI agent

    that could perform tasks and just generate responses. Operator was described as apart of a shift toward systems that are capable of using web browsers

    OpenAI Operator

    OpenAI_Operator

  • Quantum walk search
  • Quantum algorithm

    for any couple of adjacent nodes to construct an efficient shift operator. The shift operator can be written as: S = ∑ d = 1 n ∑ v = 1 n | d ⟩ | v ⊕ e d

    Quantum walk search

    Quantum_walk_search

  • Kernel (linear algebra)
  • Vectors mapped to 0 by a linear map

    direct product of infinitely many copies of R, and let s: R∞ → R∞ be the shift operator s ( x 1 , x 2 , x 3 , x 4 , … ) = ( x 2 , x 3 , x 4 , … ) . {\displaystyle

    Kernel (linear algebra)

    Kernel (linear algebra)

    Kernel_(linear_algebra)

  • Operator (profession)
  • Profession that involves the operation of specific equipment or service

    rotating shift schedule. [citation needed] Broadcasting Technical operator, transmission controller or broadcast operator: Master control (MCR) operator Production

    Operator (profession)

    Operator (profession)

    Operator_(profession)

  • Schuette–Nesbitt formula
  • (x-1)^{k}},} which proves (4). Consider the linear shift operator E and the linear difference operator Δ, which we define here on the sequence space of

    Schuette–Nesbitt formula

    Schuette–Nesbitt_formula

  • Bounded operator
  • Kind of linear transformation

    In functional analysis and operator theory, a bounded linear operator is a special kind of linear transformation that is particularly important in infinite

    Bounded operator

    Bounded_operator

  • SLW
  • Topics referred to by the same term

    code), Mexico Sialum language (ISO 639 code:slw) slw, a PowerPC logical shift operator Single-line working an emergency measure on railways to work in both

    SLW

    SLW

  • Delimited continuation
  • Continuation that returns a value

    offers two control operators, shift and reset, that give rise to static rather than to dynamic delimited continuations. The reset operator sets the limit

    Delimited continuation

    Delimited_continuation

  • Shift plan
  • Central component of a shift schedule in shift work

    from 06:00 to 18:00 for twelve-hour shifts. S swing shift, 2nd shift, late shift, back shift, afternoon shift This shift often occurs from either 14:00 or

    Shift plan

    Shift_plan

  • Triangulated category
  • Category in mathematics

    equivalent to the Fukaya category of its "mirror" symplectic manifold. Shift operator is a decategorified analogue of triangulated category. Triangulated

    Triangulated category

    Triangulated_category

  • Lag operator
  • Operator for offsetting time series elements

    Autoregressive model Autoregressive moving average model Moving average model Shift operator Z-transform Hamilton, James Douglas (1994). Time Series Analysis. Princeton

    Lag operator

    Lag_operator

  • Recurrence relation
  • Pattern defining an infinite sequence of numbers

    equations of the form f(E)y = 𝜙(x)" where Δ is the difference operator and E is a shift operator. J. Bradley, Introduction to Discrete Mathematics (1988) page

    Recurrence relation

    Recurrence_relation

  • Nuclear Reactor Operator Badge
  • simply working a given number of shifts. The first level of qualification was graduation from the Nuclear Power Plant Operator Course; the Basic badge is shown

    Nuclear Reactor Operator Badge

    Nuclear Reactor Operator Badge

    Nuclear_Reactor_Operator_Badge

  • Nikolai Kapitonovich Nikolski
  • Russian mathematician (born 1940)

    Treatise on the Shift Operator, Grundlehren der mathematischen Wissenschaften 273, Springer Verlag 1986 (V) Lectures on the Shift Operator (Russian: «Лекции

    Nikolai Kapitonovich Nikolski

    Nikolai Kapitonovich Nikolski

    Nikolai_Kapitonovich_Nikolski

  • Multiplication theorem
  • Identity obeyed by many special functions related to the gamma function

    the Bernoulli scheme. The transfer operator L k {\displaystyle {\mathcal {L}}_{k}} corresponding to the shift operator on the Bernoulli scheme is given

    Multiplication theorem

    Multiplication_theorem

  • Valery Khodemchuk
  • Chernobyl disaster victim (1951–1986)

    1951 – 26 April 1986) was a Soviet engineer who was the night shift circulating pump operator at the Chernobyl power plant, and the first casualty of the

    Valery Khodemchuk

    Valery Khodemchuk

    Valery_Khodemchuk

  • Subnormal operator
  • of such is the unilateral shift, which is not normal. But A is subnormal and this can be shown explicitly. Define an operator U on H ⊕ H {\displaystyle

    Subnormal operator

    Subnormal_operator

  • Shift theorem
  • In mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators (D-operators) and exponential functions. It permits

    Shift theorem

    Shift_theorem

  • Multiplication operator
  • Linear operator scaling by a fixed function

    operator. This example can be easily generalized to characterizing the norm and spectrum of a multiplication operator on any Lp space. Shift operator

    Multiplication operator

    Multiplication_operator

  • C++ input/output library
  • C++ input/output functionality in the standard library

    that operator as well. The std::cin object is of type std::istream, which overloads the right bit-shift operator. The directions of the bit-shift operators

    C++ input/output library

    C++_input/output_library

  • Shift matrix
  • Square matrix with ones on a superdiagonal or subdiagonal

    0&0&0&0\end{pmatrix}}.} Clock and shift matrices Nilpotent matrix Subshift of finite type Unilateral shift operator Beauregard & Fraleigh (1973, p. 312)

    Shift matrix

    Shift_matrix

  • LSR
  • Topics referred to by the same term

    technology of the GNOME desktop environment Logical shift right, a type of logical shift operator used in some computer languages Loose Source Routing

    LSR

    LSR

  • Normal operator
  • (on a complex Hilbert space) continuous linear operator

    functional analysis, a normal operator on a complex Hilbert space H {\displaystyle H} is a continuous linear operator N : H → H {\displaystyle N\colon

    Normal operator

    Normal_operator

  • OpenShift
  • Cloud computing software

    users and work with operators. Developer views are oriented around working with application resources within a namespace. OpenShift also provides a CLI

    OpenShift

    OpenShift

    OpenShift

  • Hypercyclic operator
  • hypercyclic operators started to be more intensively studied. An example of a hypercyclic operator is two times the backward shift operator on the ℓ2 sequence

    Hypercyclic operator

    Hypercyclic_operator

  • H square
  • Paley-Wiener theorem. Hardy space H∞ Unilateral shift operator Jonathan R. Partington, "Linear Operators and Linear Systems, An Analytical Approach to Control

    H square

    H_square

  • Beurling–Lax theorem
  • Theorem in mathematics

    is a significant connection between operator theory with complex analysis. Hardy space H2 Unilateral shift operator Ball, J. A. (2001) [1994], "Beurling-Lax

    Beurling–Lax theorem

    Beurling–Lax_theorem

  • Operator-precedence parser
  • Bottom-up parser that interprets an operator-precedence grammar

    algorithm is commonly used to implement operator-precedence parsers. An operator-precedence parser is a simple shift-reduce parser that is capable of parsing

    Operator-precedence parser

    Operator-precedence_parser

  • Finite difference
  • Discrete analog of a derivative

    _{h}-\operatorname {I} ,} where Th is the shift operator with step h, defined by Th[f](x) = f(x + h), and I is the identity operator. The finite difference of higher

    Finite difference

    Finite_difference

  • Downshift
  • Topics referred to by the same term

    Downshifting (lifestyle), the social practice of adopting a simpler life Down-shift operator, in mathematics This disambiguation page lists articles associated with

    Downshift

    Downshift

  • Hessenberg matrix
  • Kind of square matrix in linear algebra

    domain—that is, a Bergman space. In this case, the Hessenberg operator is the right-shift operator S {\displaystyle S} , given by [ S f ] ( z ) = z f ( z )

    Hessenberg matrix

    Hessenberg_matrix

  • Bochner's theorem
  • Theorem of Fourier transforms of Borel measures

    [h]} . For a fixed g {\displaystyle g} in G {\displaystyle G} , the "shift operator" U g {\displaystyle U_{g}} defined by ( U g h ) ( g ′ ) = h ( g ′ −

    Bochner's theorem

    Bochner's_theorem

  • Mixing (mathematics)
  • Mathematical description of mixing substances

    measure-preserving dynamical system, with T being the time-evolution or shift operator. The system is said to be strong mixing if, for any A , B ∈ A {\displaystyle

    Mixing (mathematics)

    Mixing (mathematics)

    Mixing_(mathematics)

  • Aleksandrov–Clark measure
  • construction of Clark relates to one-dimensional perturbations of compressed shift operators on subspaces of the Hardy space: H 2 ( D , C ) . {\displaystyle H^{2}(\mathbb

    Aleksandrov–Clark measure

    Aleksandrov–Clark_measure

  • Jean Delsarte
  • French mathematician (1903–1968)

    particular, for introducing mean-periodic functions and generalised shift operators. He was one of the founders of the Bourbaki group. He was an invited

    Jean Delsarte

    Jean_Delsarte

  • Pincherle derivative
  • Type of derivative of a linear operator

    h}} is the operator δ = 1 h ( S h − 1 ) , {\displaystyle \delta ={1 \over h}(S_{h}-1),} whose Pincherle derivative is the shift operator δ ′ = S h {\displaystyle

    Pincherle derivative

    Pincherle_derivative

  • Manual transmission
  • Motor vehicle transmission

    synchromesh for the shift from third gear to second gear (drivers' manuals in vehicles suggested that if the driver needed to shift from second to first

    Manual transmission

    Manual transmission

    Manual_transmission

  • Contraction (operator theory)
  • Bounded operators with sub-unit norm

    In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. Every

    Contraction (operator theory)

    Contraction_(operator_theory)

  • Differential operator
  • Typically linear operator defined in terms of differentiation of functions

    In mathematics, a differential operator is an operator defined as a function of the differentiation operator (which is an operation that accepts a function

    Differential operator

    Differential operator

    Differential_operator

  • Sheffer sequence
  • Type of polynomial sequence

    linear operator Q just defined is shift-equivariant; such a Q is then a delta operator. Here, we define a linear operator Q on polynomials to be shift-equivariant

    Sheffer sequence

    Sheffer_sequence

  • Markov chain
  • Random process independent of past history

    transition. Let T : Ω → Ω {\displaystyle T:\Omega \to \Omega } be the shift operator: T ( X 0 , X 1 , … ) = ( X 1 , … ) {\displaystyle T(X_{0},X_{1},\dots

    Markov chain

    Markov chain

    Markov_chain

  • Hamburger moment problem
  • Probability problem

    n+1}=m_{m+n+1}=\langle [e_{n}],[e_{m+1}]\rangle } . Therefore, the shift operator T on H {\displaystyle {\mathcal {H}}} , with T[en] = [en + 1], is symmetric

    Hamburger moment problem

    Hamburger_moment_problem

  • Mutation testing
  • Method of software testing

    primitive operators. These operators fall into six categories: Arithmetic operators, Relational operators, Conditional operators, Shift operators, Logical

    Mutation testing

    Mutation_testing

  • Short integer solution problem
  • Computational problem used in cryptography

    {\displaystyle B_{1}=B_{2}U_{1}^{-1},B_{2}=B_{1}U_{1}} . Definition: Rotational shift operator on R n ( n ≥ 2 ) {\displaystyle \mathbb {R} ^{n}(n\geq 2)} is denoted

    Short integer solution problem

    Short_integer_solution_problem

  • Translation (disambiguation)
  • Topics referred to by the same term

    Translation (geometry), moving points the same distance in the same direction Shift operator, a translation within the real line Translation (group theory), the

    Translation (disambiguation)

    Translation_(disambiguation)

  • Generalizations of Pauli matrices
  • Families of matrices in mathematics, physics, and quantum information

    in a "clock" of d {\displaystyle d} hours, and the shift matrix is just the translation operator (a cyclic permutation matrix) in that cyclic vector

    Generalizations of Pauli matrices

    Generalizations_of_Pauli_matrices

  • Von Neumann's inequality
  • L^{p}}\leq ||P(S)||_{\ell ^{p}\to \ell ^{p}}} where S is the right-shift operator. The von Neumann inequality proves it true for p = 2 {\displaystyle

    Von Neumann's inequality

    Von_Neumann's_inequality

  • Moody, Standard and Poor
  • 2011 studio album by Obits

    2011-06-07. Weingarten, Christopher (2011-02-15). "Exclusive: Hear Obits' 'Shift Operator,' a Killer New Jam About a Math Problem". The Village Voice. Archived

    Moody, Standard and Poor

    Moody,_Standard_and_Poor

  • Generalized Clifford algebra
  • these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger. Clock and shift matrices find routine

    Generalized Clifford algebra

    Generalized_Clifford_algebra

  • Anti-integrability
  • Method of studying dynamical systems

    energy and the 'dynamics' become non-deterministic, reducing to the shift operator acting on the set of these critical points. Trajectories at this limit

    Anti-integrability

    Anti-integrability

  • Rolling hash
  • Type of hash function

    integers, 1-based subscript). Let ≪ {\displaystyle \ll } be the left-shift operator. The recurrence relation is: H 0 = 0 {\displaystyle H_{0}=0} H i = (

    Rolling hash

    Rolling_hash

  • Probability current
  • Value for the flow of probability in quantum mechanics

    \equiv 2I-S-S^{\ast }} is the discrete Laplacian, with S being the right shift operator on ℓ 2 ( Z ) . {\displaystyle \ell ^{2}(\mathbb {Z} ).} Then the probability

    Probability current

    Probability_current

  • Compact operator
  • Type of continuous linear operator

    mathematics, a compact operator is a linear operator that behaves, in several important respects, like a finite-dimensional operator such as a matrix. In

    Compact operator

    Compact_operator

  • Pitch shifting
  • Audio processing technique that alters pitch

    Pitch shifting is a sound recording technique in which the original pitch of a sound is raised or lowered. Effects units that raise or lower pitch by a

    Pitch shifting

    Pitch shifting

    Pitch_shifting

  • Iterated function
  • Result of repeatedly applying a mathematical function

    corresponds to a shift, the transfer operator, and its adjoint, the Koopman operator can both be interpreted as shift operators action on a shift space. The

    Iterated function

    Iterated function

    Iterated_function

  • Exponential shift
  • Topics referred to by the same term

    Exponential shift may refer to: Exponential shift theorem, a shift theorem about polynomial differential operators and exponential function in mathematics

    Exponential shift

    Exponential_shift

  • Bit array
  • Array data structure that compactly stores bits

    obtain the bit mask needed for these operations, we can use a bit shift operator to shift the number 1 to the left by the appropriate number of places, as

    Bit array

    Bit_array

  • Bernoulli process
  • Random process of binary (boolean) random variables

    {\displaystyle a} . This linear operator is called the transfer operator or the Ruelle–Frobenius–Perron operator. This operator has a spectrum, that is, a

    Bernoulli process

    Bernoulli process

    Bernoulli_process

  • Operator (physics)
  • Function acting on the space of physical states in physics

    An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study

    Operator (physics)

    Operator_(physics)

  • Operator assistance
  • Call assistance services

    Operator assistance refers to service provided by a telephone operator to the calling party of a telephone call. This included telephone calls made from

    Operator assistance

    Operator assistance

    Operator_assistance

  • Q-derivative
  • Q-analog of the ordinary derivative

    derivative. Formally, in terms of Lagrange's shift operator in logarithmic variables, it amounts to the operator D q = 1 x   q d       d ( ln ⁡ x ) − 1 q

    Q-derivative

    Q-derivative

  • Elevator operator
  • Person specifically employed to operate a manually operated elevator

    the shift to female elevator operators was remarkable. At first, female elevator operators had to perform the same functional tasks as male operators, operating

    Elevator operator

    Elevator operator

    Elevator_operator

  • Abel equation
  • Equation for function that computes iterated values

    equation Infinite compositions of analytic functions Iterated function Shift operator Superfunction Aczél, János, (1966): Lectures on Functional Equations

    Abel equation

    Abel_equation

  • Amenable group
  • Locally compact topological group with an invariant averaging operation

    convolution on L2(G) by a symmetric probability measure on G gives an operator of operator norm 1. Johnson's cohomological condition. The Banach algebra A =

    Amenable group

    Amenable_group

  • Functional equation
  • Equation whose unknown is a function

    differences between terms' indexes can be seen as an application of the shift operator. For example, the recurrence relation defining the Fibonacci numbers

    Functional equation

    Functional_equation

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