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Surname list
Riesz may refer to: Frigyes Riesz (1880–1956), Hungarian mathematician Helene Scheu-Riesz (1880–1970), Austrian women's rights activist, writer and publisher
Riesz
Theorem about the dual of a Hilbert space
The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes
Riesz_representation_theorem
Topics referred to by the same term
spaces (TVSs). Riesz representation theorem M. Riesz extension theorem Riesz–Thorin theorem Riesz–Fischer theorem Riesz's lemma Riesz–Markov–Kakutani
Riesz_theorem
Potential in mathematics
mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz. In a sense, the Riesz potential defines
Riesz_potential
Hungarian mathematician
Frigyes Riesz (Hungarian: Riesz Frigyes, pronounced [ˈriːs ˈfriɟɛʃ], sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February
Frigyes_Riesz
Hungarian mathematician
Marcel Riesz (Hungarian: Riesz Marcell [ˈriːs ˈmɒrt͡sɛll]; 16 November 1886 – 4 September 1969) was a Hungarian mathematician, known for work on summation
Marcel_Riesz
Theorem on operator interpolation
mathematical analysis, the Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem, is
Riesz–Thorin_theorem
Statement about linear functionals and measures
In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space
Riesz–Markov–Kakutani representation theorem
Riesz–Markov–Kakutani_representation_theorem
Generalized average used for summability
Riesz mean should not be confused with the Bochner–Riesz mean or the Strong–Riesz mean. Given a series { s n } {\displaystyle \{s_{n}\}} , the Riesz mean
Riesz_mean
Partially ordered vector space, ordered as a lattice
a Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice. Riesz spaces
Riesz_space
Type of singular integral operator
In the mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of
Riesz_transform
In mathematics, or more specifically in spectral theory, the Riesz projector is the projector onto the eigenspace corresponding to a particular eigenvalue
Riesz_projector
Mathematical function
In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series
Riesz_function
Mathematical theorem
In mathematics, the Riesz–Fischer theorem in real analysis is any of a number of closely related results concerning the properties of the space L2 of
Riesz–Fischer_theorem
Mathematics lemma in functional analysis
In mathematics, Riesz's lemma (after Frigyes Riesz) is a lemma in functional analysis. It specifies (often easy to check) conditions that guarantee that
Riesz's_lemma
In mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure
F._and_M._Riesz_theorem
Nonlocal mathematical operator
vector-valued Riesz transform. For a function f : R n → R {\displaystyle f:\mathbb {R} ^{n}\to \mathbb {R} } , the j {\displaystyle j} -th Riesz transform
Fractional_Laplacian
Summability method used in harmonic analysis
The Bochner–Riesz mean is a summability method often used in harmonic analysis when considering convergence of Fourier series and Fourier integrals. It
Bochner–Riesz_mean
⋅ , ⋅ ⟩ ) {\displaystyle (H,\langle \cdot ,\cdot \rangle )} is called a Riesz sequence if there exist constants 0 < c ≤ C < ∞ {\displaystyle 0<c\leq C<\infty
Riesz_sequence
Mathematical theorem that Linear Fnctions have Positive Extensions in Real Vectorspace
The M. Riesz extension theorem is a theorem in mathematics, proved by Marcel Riesz during his study of the problem of moments. Let E {\displaystyle E}
M._Riesz_extension_theorem
The Radon–Riesz property is a mathematical property for normed spaces that helps ensure convergence in norm. Given two assumptions (essentially weak convergence
Radon–Riesz_property
Austrian activist and writer (1880–1970)
Helene Scheu-Riesz (18 September 1880 – 8 January 1970) was an Austrian women's rights activist, pacifist, children's writer and publisher. In addition
Helene_Scheu-Riesz
Theorem in topology
In topology, the Denjoy–Riesz theorem states that every compact set of totally disconnected points in the Euclidean plane can be covered by a continuous
Denjoy–Riesz_theorem
In mathematics, F. Riesz's theorem (named after Frigyes Riesz) is a theorem in functional analysis that states that a Hausdorff topological vector space
F._Riesz's_theorem
Trials of Mana character
Riesz (Japanese: リース, Hepburn: Rīsu) is a character in the 1995 video game Trials of Mana. She is one of its six protagonists, able to be selected as
Riesz_(Trials_of_Mana)
Function spaces generalizing finite-dimensional p norm spaces
Bourbaki group (Bourbaki 1987) they were first introduced by Frigyes Riesz (Riesz 1910). Lp spaces form an important class of Banach spaces in functional
Lp_space
circle. This result, the Herglotz-Riesz representation theorem, was proved independently by Gustav Herglotz and Frigyes Riesz in 1911. It can be used to give
Positive_harmonic_function
In mathematics, the Riesz rearrangement inequality, sometimes called Riesz–Sobolev inequality, states that any three non-negative functions f : R n → R
Riesz rearrangement inequality
Riesz_rearrangement_inequality
Gives condition for a set of functions to be relatively compact in an Lp space
In functional analysis, the Fréchet–Kolmogorov theorem (the names of Riesz or Weil are sometimes added as well) gives a necessary and sufficient condition
Fréchet–Kolmogorov_theorem
Type of vector space in math
David Hilbert (after whom they are named), Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories of partial differential equations
Hilbert_space
Many-body of charged particles
work on this phase transition. Define the function (Coulomb kernel, or Riesz kernel) g s ( x ) = { − log | x | if s = 0 , 1 s | x | s if s ≠ 0
Coulomb_gas
Conjecture about the behaviour of the Fourier transform on curved hypersurfaces
restriction conjecture is closely related to the Kakeya conjecture, Bochner-Riesz conjecture and the local smoothing conjecture. The restriction conjecture
Restriction_conjecture
Conjecture on zeros of the zeta function
follows. (Others involve the divisor function σ(n).) The Riesz criterion was given by Riesz (1916), to the effect that the bound − ∑ k = 1 ∞ ( − x ) k
Riemann_hypothesis
Function on an integer n which is log(p) if n equals p^k and zero otherwise
excess of 100 million terms, and are only readily visible when y < 10−5. The Riesz mean of the von Mangoldt function is given by ∑ n ≤ λ ( 1 − n λ ) δ Λ (
Von_Mangoldt_function
Concept in mathematics
{\displaystyle [a,a+2\pi )} unless it is the zero function. The Fejér-Riesz theorem states that every positive real trigonometric polynomial t ( x )
Trigonometric_polynomial
Mathematical concept
and the real line, the Beurling transform in the complex plane and the Riesz transforms in Euclidean space. The continuity of these operators on L2 is
Singular integral operators of convolution type
Singular_integral_operators_of_convolution_type
Set of isolated points in the spectrum of an operator with finite-rank Riesz projectors
isolated points of its spectrum such that the rank of the corresponding Riesz projector is finite. The discrete spectrum can also be defined as the set
Discrete spectrum (mathematics)
Discrete_spectrum_(mathematics)
Hungarian mathematician
Frigyes Riesz, he made the University of Szeged a centre of mathematics. He also founded the Acta Scientiarum Mathematicarum journal together with Riesz. Haar
Alfréd_Haar
Integral transform
functions. It was generalized to arbitrary dimensions by Marcel Riesz, who introduced the Riesz potential. The Riemann-Liouville integral is motivated by the
Riemann–Liouville_integral
Hungarian mathematician (1880–1959)
Carathéodory on entire functions in 1907 and another major work with Frigyes Riesz in 1922 on conformal mappings (specifically, a short proof of the Riemann
Lipót_Fejér
Mathematical method extending convergence
introduced by Jacques Hadamard (1923, book III, chapter I, 1932). Marcel Riesz (1938, 1949) showed that this can be interpreted as taking the meromorphic
Hadamard_regularization
1995 video game
Duran and Angela oppose the Crimson Wizard and the Dragon Lord, Hawkeye and Riesz oppose Belladonna and the Dark Majesty, Kevin and Charlotte oppose Goremand
Trials_of_Mana
Mathematical integral
Theorem. A closely related integral frequently occurs in the discussion of Riesz means. Very roughly, it can be said to be related to the Nörlund–Rice integral
Nørlund–Rice_integral
the proofs of these results frequently depend on β-numbers. The Denjoy–Riesz theorem gives general conditions under which a point set can be covered
Analyst's traveling salesman theorem
Analyst's_traveling_salesman_theorem
Order-preserving mathematical function
13 (Second ed.). New York: Springer-Verlag. p. 356. ISBN 0-387-00444-0. Riesz, Frigyes & Béla Szőkefalvi-Nagy (1990). Functional Analysis. Courier Dover
Monotonic_function
Area of mathematics
founded the modern school of linear functional analysis further developed by Riesz and the group of Polish mathematicians around Stefan Banach. In modern introductory
Functional_analysis
Concept within complex analysis
on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the paper (Hardy
Hardy_space
Generalised alphabetical order
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Lexicographic_order
Polynomial Matrix Spectral Factorization or Matrix Fejér–Riesz Theorem is a tool used to study the matrix decomposition of polynomial matrices. Polynomial
Polynomial matrix spectral factorization
Polynomial_matrix_spectral_factorization
(or Gabor atom) g either in time or frequency for an exact Gabor frame (Riesz Basis). Suppose g is a square-integrable function on the real line, and
Balian–Low_theorem
Trials of Mana character
game, Riesz, who was intended to be depicted as a "chubby, healthy girl" while Angela would be depicted as "slender but sexy." However, Riesz was later
Angela_(Trials_of_Mana)
result in Riesz space theory proved by Hans Freudenthal in 1936. It roughly states that any element dominated by a positive element in a Riesz space with
Freudenthal_spectral_theorem
Swedish mathematician (1919–2014)
mathematics at Lund University in Sweden from 1952 to 1984. Together with Marcel Riesz, he was a thesis advisor for Lars Hörmander. In physics, he is known for
Lars_Gårding
Physics theorem of interacting particles
electrostatics and Riesz potentials extensively studied in potential theory. Other classes of potentials, which not necessarily involve the Riesz kernel, for
Poppy-seed_bagel_theorem
Normed vector space that is complete
originally grew out of the study of function spaces by Hilbert, Fréchet, and Riesz earlier in the century. Banach spaces play a central role in functional
Banach_space
the idea appeared implicitly in earlier work by Johansson, Frigyes Riesz, Marcel Riesz, Torsten Carleman, Alexander Ostrowski and Gaston Julia. The connection
Harmonic_measure
Structure describing a notion of "nearness" between subsets
characterizes topological spaces. The concept was described by Frigyes Riesz (1909) but ignored at the time. It was rediscovered and axiomatized by V
Proximity_space
Mathematical theory by discovered by Józef Marcinkiewicz
operators acting on Lp spaces. Marcinkiewicz' theorem is similar to the Riesz–Thorin theorem about linear operators, but also applies to non-linear operators
Marcinkiewicz interpolation theorem
Marcinkiewicz_interpolation_theorem
Theorem about inclusions between Sobolev spaces
{\displaystyle Rf} is the vector-valued Riesz transform, cf. (Schikorra, Spector & Van Schaftingen 2017). The boundedness of the Riesz transforms implies that the
Sobolev_inequality
Type of metric geometry
Frigyes Riesz and Hermann Minkowski. The formalization of Lp spaces, which include taxicab geometry as a special case, is credited to Riesz. In developing
Taxicab_geometry
Theory in functional analysis
case. The spectral theory of compact operators was first developed by F. Riesz. The classical result for square matrices is the Jordan canonical form,
Spectral theory of compact operators
Spectral_theory_of_compact_operators
Branch of mathematical analysis
In addition, these distributions are geometric stable distributions. The Riesz derivative is defined as F { ∂ α u ∂ | x | α } ( k ) = − | k | α F { u }
Fractional_calculus
Group with a compatible partial order
ℓ-group). A Riesz group is an unperforated partially ordered group with a property slightly weaker than being a lattice-ordered group. Namely, a Riesz group
Partially_ordered_group
C*-algebra
dimension group of an AF algebra is a Riesz group. The Effros-Handelman-Shen theorem says the converse is true. Every Riesz group, with a given scale, arises
Approximately finite-dimensional C*-algebra
Approximately_finite-dimensional_C*-algebra
Hungarian mathematician
mathematician. Szőkefalvi-Nagy collaborated with Alfréd Haar and Frigyes Riesz, founders of the Szegedian school of mathematics. He contributed to the
Béla_Szőkefalvi-Nagy
Integral transform and linear operator
These results were restricted to the spaces L2 and ℓ2. In 1928, Marcel Riesz proved that the Hilbert transform can be defined for u in L p ( R ) {\displaystyle
Hilbert_transform
Austrian mathematician (1887–1956)
Radon–Hurwitz numbers. He is possibly the first to make use of the so-called Radon–Riesz property. Radon spaces Radonifying function Brigitte Bukovics: Biography
Johann_Radon
Class of mathematical functions
{\displaystyle \mu } is a Borel measure in D {\displaystyle D} . This is called the Riesz representation theorem. Subharmonic functions are of a particular importance
Subharmonic_function
Area of mathematical analysis
more suited for. In higher dimensions, analogous operators include the Riesz transforms, which are connected with the derivatives of harmonic and Newtonian
Harmonic_analysis
Greek-American mathematician (1946–2009)
Greek-American economist and mathematician who introduced Banach space and Riesz space methods in economic theory. He was born in Cefalonia, Greece in 1946
Charalambos_Aliprantis
Austrian mathematician (1899–1982)
he worked on multiple Fourier series, posing the question of the Bochner–Riesz means. This led to results on how the Fourier transform on Euclidean space
Salomon_Bochner
Mathematical potential
potential is a potential (named after Friedrich Wilhelm Bessel) similar to the Riesz potential but with better decay properties at infinity. If s is a complex
Bessel_potential
Well-quasi-ordering of finite trees
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Kruskal's_tree_theorem
Hungarian male curler and curling coach
Events 2006–07 Lajos Belleli Gabor Riesz Gabor Ezsöl Jozsef Nyitrai Olivér Kerekes HMCC 2007 2007–08 Gabor Riesz Lajos Belleli Gabor Ezsöl Jozsef Nyitrai
Lajos_Belleli
American mathematician
received there in 1961 his Ph.D. under Henry Helson with thesis Marcel Riesz's theorem on conjugate functions. In 1961 Forelli joined the faculty of the
Frank_Forelli
Swedish mathematician (1931–2012)
Lund University in 1950, Hörmander began his graduate studies under Marcel Riesz (who had also been the advisor for Hörmander's gymnasium teacher). He made
Lars_Hörmander
Swedish mathematician (1907–1977)
University under the Hungarian-born mathematician Marcel Riesz, the younger brother of Frigyes Riesz. In potential theory, Frostman's lemma is named after
Otto_Frostman
French mathematician (1878–1973)
metric spaces and introduced the notion of compactness. Independently of Riesz, he discovered the representation theorem in the space of Lebesgue square
René_Maurice_Fréchet
In mathematical analysis, the rising sun lemma is a lemma due to Frigyes Riesz, used in the proof of the Hardy–Littlewood maximal theorem. The lemma was
Rising_sun_lemma
The significance of positive linear functionals lies in results such as Riesz–Markov–Kakutani representation theorem. When V {\displaystyle V} is a complex
Positive_linear_functional
Hungarian mathematician
József Kürschák Left to right, standing: Frigyes Riesz, Béla Kerékjártó, Alfréd Haar, Dénes Kőnig, Rudolf Ortvay [hu], on chairs: József Kürschák, George
József_Kürschák
square-integrable function will have a dual series, in the sense of the Riesz representation theorem. However, the dual series is not itself in general
Dual_wavelet
American pop rock band
Archived from the original on October 31, 2017. Retrieved November 21, 2020. Riesz, Megan (February 6, 2014). "Pussy Riot, Madonna touch down at Barclays Center
Imagine_Dragons
is voiced by Sarah Miller-Crews in English and Rumi Ookubo in Japanese. Riesz She is the princess of the Wind Kingdom of Laurent and one of six main characters
List_of_fictional_princesses
City with county rights in Hungary
footballer Alexander Raab, pianist Hans Richter, conductor Frigyes Riesz, mathematician Marcel Riesz, mathematician Samuel Aba, king of Hungary József Szlávy,
Győr
Infinite series that is not convergent
}(x)=a_{0}+\cdots +a_{n}{\text{ for }}\lambda _{n}<x\leq \lambda _{n+1}} then the Riesz (R,λ,κ) sum of the series a0 + ... is defined to be lim ω → ∞ κ ω κ ∫ 0
Divergent_series
Mathematical property of subsets in order theory
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Cofinal_(mathematics)
Hungarian mathematician (1921–1970)
PhD in 1947 at the University of Szeged, under the advisement of Frigyes Riesz. He did his postgraduate in Moscow and Leningrad, where he collaborated
Alfréd_Rényi
Mathematical measure
{\displaystyle G=\left(G_{n}\right)_{n=1}^{\infty }} . A classic example is the Riesz product G n ( t ) = ∏ k = 1 n ( 1 + r cos ( 2 π m k t ) ) {\displaystyle
G-measure
Type of operator in Fourier analysis
2. The corresponding problem for Bochner–Riesz multipliers is only partially solved; see also Bochner–Riesz conjecture. Calderón–Zygmund lemma Marcinkiewicz
Multiplier_(Fourier_analysis)
Result in measure theory
densities in 1947. The result is a special case of a theorem by Frigyes Riesz about convergence in Lp spaces published in 1928. David Williams (1991)
Scheffé's_lemma
Generalization of the Riemann integral
The Riemann–Stieltjes integral appears in the original formulation of F. Riesz's theorem which represents the dual space of the Banach space C[a,b] of continuous
Riemann–Stieltjes_integral
Order whose elements are all comparable
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Total_order
Theorem concerning uniform convergence
theorem in the nowadays common abstract measure space setting were Frigyes Riesz (1922, 1928), and in Wacław Sierpiński (1928): an earlier generalization
Egorov's_theorem
Construction for adding objects to a Hilbert space
referred to as a pivot space. Note that even though Φ is isomorphic to Φ* (via Riesz representation) if it happens that Φ is a Hilbert space in its own right
Rigged_Hilbert_space
Expressing a measure as an integral of another
Radon–Nikodym theorem by proving the Freudenthal spectral theorem, a result in Riesz space theory; this contains the Radon–Nikodym theorem as a special case
Radon–Nikodym_theorem
Ordered vector space – Vector space with a partial order Pseudocomplement Riesz space – Partially ordered vector space, ordered as a lattice Schaefer &
Topological_vector_lattice
Property of elements related by inequalities
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Comparability
Theorem on extension of bounded linear functionals
extension theorem, the M. Riesz extension theorem, from which the Hahn–Banach theorem can be derived, was proved in 1923 by Marcel Riesz. The first Hahn–Banach
Hahn–Banach_theorem
Set theory concept
vector space Partially ordered Positive cone of an ordered vector space Riesz space Partially ordered group Positive cone of a partially ordered group
Club_set
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