# zbMATH — the first resource for mathematics

## Rudin, Walter

Compute Distance To:
 Author ID: rudin.walter Published as: Rudin, W.; Rudin, Walter External Links: MGP · Wikidata · GND
 Documents Indexed: 189 Publications since 1949, including 32 Books Biographic References: 4 Publications
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#### Co-Authors

 147 single-authored 10 Ahern, Patrick B. 5 Nagel, Alexander 5 Rosay, Jean-Pierre 2 deLeeuw, Karel 2 Kahane, Jean-Pierre 2 Katznelson, Yitzhak 2 Piranian, George 2 Shapiro, Joel H. 2 Stout, Edgar Lee 1 Ahern, P. R. 1 Douglas, Ronald George 1 Duren, Peter Larkin 1 Flores, Manuel T. 1 Forelli, Frank 1 Globevnik, Josip 1 Helson, Henry 1 Jerison, Meyer 1 Kunen, Kenneth 1 Lamperti, John W. 1 Lohwater, Arthur J. 1 Mueller, Carl J. 1 Newman, Jerome 1 Rudin, Mary Ellen 1 Schneider, Hans 1 Smith, Kennan T. 1 Wermer, John
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#### Serials

 24 Proceedings of the American Mathematical Society 13 Duke Mathematical Journal 13 Bulletin of the American Mathematical Society 12 American Mathematical Monthly 8 Transactions of the American Mathematical Society 7 Indiana University Mathematics Journal 6 Michigan Mathematical Journal 5 Canadian Journal of Mathematics 5 Pacific Journal of Mathematics 5 Journal of Mathematics and Mechanics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Functional Analysis 4 Complex Variables. Theory and Application 3 Mathematica Scandinavica 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 2 Studia Mathematica 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annales Polonici Mathematici 2 Indagationes Mathematicae 2 Proceedings of the National Academy of Sciences of the United States of America 2 Indagationes Mathematicae. New Series 2 Journal of the London Mathematical Society 2 Regional Conference Series in Mathematics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 The Annals of Probability 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology and its Applications 1 Annals of Mathematics. Second Series 1 Grundlehren der Mathematischen Wissenschaften 1 History of Mathematics (Providence) 1 1 Classics in Mathematics 1 Interscience Tracts in Pure and Applied Mathematics
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#### Fields

 50 Several complex variables and analytic spaces (32-XX) 33 Functions of a complex variable (30-XX) 25 Functional analysis (46-XX) 22 Real functions (26-XX) 11 Potential theory (31-XX) 7 Abstract harmonic analysis (43-XX) 6 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

166 Publications have been cited 12,001 times in 10,535 Documents Cited by Year
Real and complex analysis. 3rd ed. Zbl 0925.00005
Rudin, Walter
1987
Functional analysis. Zbl 0253.46001
Rudin, Walter
1973
Functional analysis. 2nd ed. Zbl 0867.46001
Rudin, Walter
1991
Function theory in the unit ball of $$\mathbb{C}^n$$. Zbl 0495.32001
Rudin, Walter
1980
Real and complex analysis. Zbl 0142.01701
Rudin, Walter
1966
Principles of mathematical analysis. 3rd ed. Zbl 0346.26002
Rudin, Walter
1976
Principles of mathematical analysis. 2nd ed. Zbl 0148.02903
Rudin, W.
1964
Fourier analysis on groups. Zbl 0107.09603
Rudin, W.
1962
Real and complex analysis. 2nd ed. Zbl 0278.26001
Rudin, Walter
1974
Function theory in polydiscs. Zbl 0177.34101
Rudin, W.
1969
Principles of mathematical analysis. 2nd ed. Translation from the English ed. by V.P. Havin. Zbl 0148.02904
Rudin, W.
1966
Real and complex analysis. Zbl 0954.26001
Rudin, Walter
1999
Projections on invariant subspaces. Zbl 0105.09504
Rudin, Walter
1962
Fourier analysis on groups. Paperback edition. Zbl 0698.43001
Rudin, Walter
1990
Trigonometric series with gaps. Zbl 0091.05802
Rudin, Walter
1960
Homogeneity problems in the theory of Cech compactifications. Zbl 0073.39602
Rudin, Walter
1956
Principles of mathematical analysis. Zbl 0052.05301
Rudin, Walter
1953
Holomorphic maps from $$C^ n$$ to $$C^ n$$. Zbl 0708.58003
Rosay, Jean-Pierre; Rudin, Walter
1988
Projections on spaces of holomorphic functions in balls. Zbl 0297.47041
Forelli, Frank; Rudin, Walter
1974
Analytic functions of class $$H_p$$. Zbl 0064.31203
Rudin, Walter
1955
Function theory in the unit ball of $${\mathbb{C}}^ n$$. Reprint of the 1980 original. Zbl 1139.32001
Rudin, Walter
2008
Some theorems on Fourier coefficients. Zbl 0091.05706
Rudin, Walter
1959
Extreme points and extremum problems in $$H_1$$. Zbl 0084.27503
de Leeuw, Karel; Rudin, Walter
1958
Tangential boundary behavior of functions in Dirichlet-type spaces. Zbl 0531.31007
Nagel, Alexander; Rudin, Walter; Shapiro, Joel H.
1982
Continuous functions on compact spaces without perfect subsets. Zbl 0077.31103
Rudin, Walter
1957
The radial variation of analytic functions. Zbl 0064.31105
Rudin, Walter
1955
An invariant volume-mean-value property. Zbl 0771.32006
Ahern, Patrick; Flores, Manuel; Rudin, Walter
1993
$$L^p$$-isometries and equimeasurability. Zbl 0326.46011
Rudin, Walter
1976
The extension problem for positive-definite functions. Zbl 0114.31003
Rudin, Walter
1963
Fourier-Stieltjes transforms of measures on independent sets. Zbl 0099.32201
Rudin, Walter
1960
New constructions of functions holomorphic in the unit ball of $$C^n$$. Zbl 1187.32001
Rudin, Walter
1986
Boundary values of continuous analytic functions. Zbl 0073.29701
Rudin, Walter
1956
The isometries of some function spaces. Zbl 0097.09802
de Leeuw, Karel; Rudin, Walter; Wermer, John
1960
The closed ideals in an algebra of analytic functions. Zbl 0080.31703
Rudin, Walter
1957
Approximation by inner functions. Zbl 0189.13803
Douglas, R. G.; Rudin, W.
1969
Subalgebras of spaces of continuous functions. Zbl 0073.09102
Rudin, Walter
1956
Lectures on the edge-of-the-wedge theorem. Zbl 0214.09001
Rudin, W.
1971
Mean convergence of orthogonal series. Zbl 0046.29402
Newman, Jerome; Rudin, Walter
1952
The functions which operate on Fourier transforms. Zbl 0091.10902
Helson, Henry; Kahane, Jean-Pierre; Katznelson, Yitzhak; Rudin, Walter
1959
Measure algebras on Abelian groups. Zbl 0089.10901
Rudin, Walter
1959
Moebius-invariant function spaces on balls and spheres. Zbl 0343.32017
Nagel, Alexander; Rudin, Walter
1976
Proper holomorphic maps and finite reflection groups. Zbl 0506.32009
Rudin, Walter
1982
Division in algebras of infinitely differentiable functions. Zbl 0199.44201
Rudin, W.
1962
Spaces of type $$H^\infty+C$$. Zbl 0295.46080
Rudin, Walter
1975
Invariant means on $$L^\infty$$. Zbl 0238.43002
Rudin, Walter
1972
Positive definite sequences and absolutely monotonic functions. Zbl 0092.28302
Rudin, Walter
1959
Idempotent measures on abelian groups. Zbl 0085.10102
Rudin, Walter
1959
An extension theorem for positive-definite functions. Zbl 0194.36001
Rudin, W.
1970
Injective polynomial maps are automorphisms. Zbl 0972.32015
Rudin, Walter
1995
Weak almost periodic functions and Fourier-Stieltjes transforms. Zbl 0085.32502
Rudin, Walter
1959
Real and complex analysis. Transl. from the English by A. Casal Piga. Reprint. Zbl 0613.26001
Rudin, W.
1985
Analysis in the real and complex domain. Transl. from the 2nd English edition by Ivan Netuka and Jiří Veselý. Zbl 0925.00003
Rudin, Walter
1977
Lacunarity and the Bohr topology. Zbl 0915.43003
Kunen, Kenneth; Rudin, Walter
1999
Some theorems on bounded analytic functions. Zbl 0064.31202
Rudin, Walter
1955
Invariant means on $$L^ \infty$$. Zbl 0215.47004
Rudin, W.
1972
Idempotents in group rings. Zbl 0146.12003
Rudin, W.; Schneider, H.
1964
Peak-interpolation sets of class $$C^1$$. Zbl 0383.32007
Rudin, Walter
1978
An arithmetic property of Riemann sums. Zbl 0132.03601
Rudin, W.
1964
Analyticity, and the maximum modulus principle. Zbl 0052.07603
Rudin, Walter
1953
Bloch functions, BMO, and boundary zeros. Zbl 0634.32005
Ahern, Patrick; Rudin, Walter
1987
Local boundary behavior of bounded holomorphic functions. Zbl 0427.32006
Nagel, Alexander; Rudin, Walter
1978
Limits of ratios of tails of measures. Zbl 0303.60014
Rudin, Walter
1973
The derivative of a schlicht function. Zbl 0065.06901
Lohwater, A. J.; Piranian, G.; Rudin, W.
1955
Analyse réelle et complexe. Traduit de l’anglais par N. Dhombres et F. Hoffman. Zbl 1147.26300
Rudin, W.
1994
A geometric criterion for algebraic varieties. Zbl 0157.13202
Rudin, W.
1968
$$L^2$$-approximation by partial sums of orthogonal developments. Zbl 0046.06602
Rudin, Walter
1952
Averages of continuous functions on compact spaces. Zbl 0081.33301
Rudin, Walter
1958
Fourier analysis on groups. Reprint of the 1962 hardback edition published by Interscience Publishers. Zbl 1361.43001
Rudin, Walter
2017
Arakelian’s approximation theorem. Zbl 0678.30025
Rosay, Jean-Pierre; Rudin, Walter
1989
Holomorphic maps that extend to automorphisms of a ball. Zbl 0497.32011
Rudin, Walter
1981
Totally real Klein bottles in $$C^ 2$$. Zbl 0483.32013
Rudin, Walter
1981
Analyse réelle et complexe. Traduit de l’americain par N. Dhombres et F. Hoffman. Zbl 0333.28001
Rudin, Walter
1975
Boundary properties of functions of several complex variables. Zbl 0147.11601
Rudin, W.; Stout, E. L.
1965
Integral representation of continuous functions. Zbl 0037.34702
Rudin, Walter
1950
Uniqueness theory for Laplace series. Zbl 0036.17403
Rudin, Walter
1950
Function theory in the unit ball of $${\mathbb{C}}^ n$$. (Teoriya funktsij v edinichnom share iz $${\mathbb{C}}^ n)$$. Transl. from the English. Zbl 0597.32001
Rudin, Walter
1984
Inner functions in the unit ball of $${\mathbb{C}}^ n$$. Zbl 0554.32002
Rudin, Walter
1983
The Stone-Weierstrass property in Banach algebras. Zbl 0102.32804
Katznelson, Yitzhak; Rudin, Walter
1961
Representation of functions by convolutions. Zbl 0079.13302
Rudin, Walter
1958
Totally real embeddings of $$S^ 3$$ in $${\mathbb{C}}^ 3$$. Zbl 0567.32006
Ahern, Patrick; Rudin, Walter
1985
Well-distributed measurable sets. Zbl 0504.28003
Rudin, Walter
1983
Pairs of inner functions on finite Riemann surfaces. Zbl 0177.10803
Rudin, Walter
1969
A generalization of a theorem of Frostman. Zbl 0185.33301
Rudin, W.
1967
Caractérisation des fonctions qui opèrent sur les coefficients de Fourier-Stieltjes. Zbl 0090.04303
Kahane, Jean-Pierre; Rudin, Walter
1958
Remarks on a theorem of Paley. Zbl 0078.05904
Rudin, Walter
1957
Zeros of holomorphic functions in balls. Zbl 0319.32003
Rudin, Walter
1976
Homomorphisms and translations in L$$^\infty$$(G). Zbl 0297.22009
Rudin, Walter
1975
Sums of squares of polynomials. Zbl 0981.12001
Rudin, Walter
2000
A maximum principle for sums of subharmonic functions, and the convexity of level sets. Zbl 0678.31003
Rosay, Jean-Pierre; Rudin, Walter
1989
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
1986
Analyse réelle et complexe. Traduit de l’americain par N. Dhombres et F. Hoffman. 3e tirage. Zbl 0461.00006
Rudin, Walter
1980
Holomorphic Lipschitz functions in balls. Zbl 0391.32001
Rudin, Walter
1978
Tauberian theorems for positive harmonic functions. Zbl 0391.31005
Rudin, Walter
1978
Convex combinations of unimodular functions. Zbl 0175.44701
Rudin, W.
1969
Essential boundary points. Zbl 0133.03605
Rudin, W.
1964
Idempotents in group algebras. Zbl 0119.11001
Rudin, W.
1963
The automorphisms and the endomorphisms of the group algebra of the unit circle. Zbl 0070.33903
Rudin, Walter
1956
Geometric properties of the gamma function. Zbl 0872.33002
Ahern, Patrick; Rudin, Walter
1996
Proper holomorphic self-maps of plane regions. Zbl 0745.30024
Mueller, Carl; Rudin, Walter
1991
Homogeneous polynomial maps. Zbl 0589.32005
Rudin, Walter
1984
Fourier analysis on groups. Reprint of the 1962 hardback edition published by Interscience Publishers. Zbl 1361.43001
Rudin, Walter
2017
Function theory in the unit ball of $${\mathbb{C}}^ n$$. Reprint of the 1980 original. Zbl 1139.32001
Rudin, Walter
2008
Analysis. Transl. from the English by Martin Lorenz and Christian Euler. 3rd revised and improved ed. Zbl 1097.26005
Rudin, Walter
2005
Sums of squares of polynomials. Zbl 0981.12001
Rudin, Walter
2000
Real and complex analysis. Zbl 0954.26001
Rudin, Walter
1999
Lacunarity and the Bohr topology. Zbl 0915.43003
Kunen, Kenneth; Rudin, Walter
1999
Real and complex analysis. Transl. from the English by Nicolae Popa. 3rd ed. Zbl 1038.00002
Rudin, Walter
1999
The way I remember it. Zbl 0904.01013
Rudin, Walter
1998
Analysis. Übers. aus dem Engl. von Martin Lorenz und Christine Eule. Deutsche Ausgabe neu bearb. von Norbert Herrmann. Zbl 0996.26500
Rudin, Walter
1998
The way I remember it. Zbl 0860.01028
Rudin, Walter
1997
Geometric properties of the gamma function. Zbl 0872.33002
Ahern, Patrick; Rudin, Walter
1996
The lemma of the logarithmic derivative for subharmonic functions. Zbl 0856.31002
Rudin, Walter
1996
Injective polynomial maps are automorphisms. Zbl 0972.32015
Rudin, Walter
1995
Continuous functions that are locally constant on dense sets. Zbl 0916.46019
Rudin, Mary Ellen; Rudin, Walter
1995
Periodic automorphisms of $$\mathbb{C}^ n$$. Zbl 0838.32010
Ahern, Patrick; Rudin, Walter
1995
Analyse réelle et complexe. Traduit de l’anglais par N. Dhombres et F. Hoffman. Zbl 1147.26300
Rudin, W.
1994
An invariant volume-mean-value property. Zbl 0771.32006
Ahern, Patrick; Flores, Manuel; Rudin, Walter
1993
Zero sets of functions in harmonic Hardy spaces. Zbl 0820.31002
Ahern, Patrick; Rudin, Walter
1993
Growth of volume in Fatou-Bieberbach regions. Zbl 0780.32002
Rosay, Jean-Pierre; Rudin, Walter
1993
Holomorphic embeddings of $$\mathbb{C}$$ in $${\mathbb{C}{}}^ n$$. Zbl 0779.32022
Rosay, Jean-Pierre; Rudin, Walter
1993
Preservation of level sets by automorphisms of $$\mathbb{C}^ n$$. Zbl 0801.32002
Rudin, Walter
1993
Autohomeomorphisms of compact groups. Zbl 0790.22004
Rudin, Walter
1993
Hulls of 3-spheres in $${\mathbb{C}{}}^ 3$$. Zbl 0769.32004
Ahern, Patrick; Rudin, Walter
1992
Functional analysis. 2nd ed. Zbl 0867.46001
Rudin, Walter
1991
Proper holomorphic self-maps of plane regions. Zbl 0745.30024
Mueller, Carl; Rudin, Walter
1991
$$\mathcal M$$-harmonic products. Zbl 0762.32001
Ahern, Patrick; Rudin, Walter
1991
Fourier analysis on groups. Paperback edition. Zbl 0698.43001
Rudin, Walter
1990
Arakelian’s approximation theorem. Zbl 0678.30025
Rosay, Jean-Pierre; Rudin, Walter
1989
A maximum principle for sums of subharmonic functions, and the convexity of level sets. Zbl 0678.31003
Rosay, Jean-Pierre; Rudin, Walter
1989
Holomorphic maps from $$C^ n$$ to $$C^ n$$. Zbl 0708.58003
Rosay, Jean-Pierre; Rudin, Walter
1988
A characterization of harmonic functions. Zbl 0705.31001
Globevnik, Josip; Rudin, Walter
1988
Paley-type gap theorems for $$H^ p$$-functions on the ball. Zbl 0671.32007
Ahern, Patrick; Rudin, Walter
1988
Tangential $$H^{\infty}$$-images of boundary curves. Zbl 0668.32007
Rudin, Walter
1988
Real and complex analysis. 3rd ed. Zbl 0925.00005
Rudin, Walter
1987
Bloch functions, BMO, and boundary zeros. Zbl 0634.32005
Ahern, Patrick; Rudin, Walter
1987
New constructions of functions holomorphic in the unit ball of $$C^n$$. Zbl 1187.32001
Rudin, Walter
1986
Distortion in several variables. Zbl 0559.32004
Duren, Peter; Rudin, Walter
1986
Real and complex analysis. Transl. from the English by A. Casal Piga. Reprint. Zbl 0613.26001
Rudin, W.
1985
Totally real embeddings of $$S^ 3$$ in $${\mathbb{C}}^ 3$$. Zbl 0567.32006
Ahern, Patrick; Rudin, Walter
1985
Invariant subspaces of $$H^ 2$$ on a torus. Zbl 0581.32008
Rudin, Walter
1985
The variation of holomorphic functions on tangential boundary curves. Zbl 0573.30037
Rudin, Walter
1985
Function theory in the unit ball of $${\mathbb{C}}^ n$$. (Teoriya funktsij v edinichnom share iz $${\mathbb{C}}^ n)$$. Transl. from the English. Zbl 0597.32001
Rudin, Walter
1984
Homogeneous polynomial maps. Zbl 0589.32005
Rudin, Walter
1984
Composition with inner functions. Zbl 0538.32001
Rudin, Walter
1984
Eigenfunctions of the invariant Laplacian in B. Zbl 0601.32017
Rudin, W.
1984
Inner functions in the unit ball of $${\mathbb{C}}^ n$$. Zbl 0554.32002
Rudin, Walter
1983
Well-distributed measurable sets. Zbl 0504.28003
Rudin, Walter
1983
Moebius-invariant algebras in balls. Zbl 0487.32012
Rudin, Walter
1983
Tangential boundary behavior of functions in Dirichlet-type spaces. Zbl 0531.31007
Nagel, Alexander; Rudin, Walter; Shapiro, Joel H.
1982
Proper holomorphic maps and finite reflection groups. Zbl 0506.32009
Rudin, Walter
1982
Holomorphic maps that extend to automorphisms of a ball. Zbl 0497.32011
Rudin, Walter
1981
Totally real Klein bottles in $$C^ 2$$. Zbl 0483.32013
Rudin, Walter
1981
Lebesgue’s first theorem. Zbl 0486.28006
Rudin, Walter
1981
The finiteness of compact varieties in $$C^ n$$. Zbl 0485.32016
Rudin, Walter
1981
Function theory in the unit ball of $$\mathbb{C}^n$$. Zbl 0495.32001
Rudin, Walter
1980
Analyse réelle et complexe. Traduit de l’americain par N. Dhombres et F. Hoffman. 3e tirage. Zbl 0461.00006
Rudin, Walter
1980
Some representing measures for the ball algebra. Zbl 0454.60004
Rudin, Walter
1980
Analysis. Übers. aus dem Engl. von Martin Lorenz und Christine Eule. Zbl 0449.26002
Rudin, Walter
1980
Inner function images of radii. Zbl 0406.30022
Rudin, Walter
1979
Peak-interpolation sets of class $$C^1$$. Zbl 0383.32007
Rudin, Walter
1978
Local boundary behavior of bounded holomorphic functions. Zbl 0427.32006
Nagel, Alexander; Rudin, Walter
1978
Holomorphic Lipschitz functions in balls. Zbl 0391.32001
Rudin, Walter
1978
Tauberian theorems for positive harmonic functions. Zbl 0391.31005
Rudin, Walter
1978
The fixed-point sets of some holomorphic maps. Zbl 0413.32012
Rudin, Walter
1978
Analysis in the real and complex domain. Transl. from the 2nd English edition by Ivan Netuka and Jiří Veselý. Zbl 0925.00003
Rudin, Walter
1977
Restrictions on the values of derivatives. Zbl 0401.26007
Rudin, Walter
1977
Pluriharmonic functions in balls. Zbl 0355.31006
Rudin, Walter
1977
Principles of mathematical analysis. 3rd ed. Zbl 0346.26002
Rudin, Walter
1976
$$L^p$$-isometries and equimeasurability. Zbl 0326.46011
Rudin, Walter
1976
Moebius-invariant function spaces on balls and spheres. Zbl 0343.32017
Nagel, Alexander; Rudin, Walter
1976
Zeros of holomorphic functions in balls. Zbl 0319.32003
Rudin, Walter
1976
Spaces of type $$H^\infty+C$$. Zbl 0295.46080
Rudin, Walter
1975
Analyse réelle et complexe. Traduit de l’americain par N. Dhombres et F. Hoffman. Zbl 0333.28001
Rudin, Walter
1975
Homomorphisms and translations in L$$^\infty$$(G). Zbl 0297.22009
Rudin, Walter
1975
A failure of the associative law. Zbl 0315.44009
Rudin, Walter
1975
Real and complex analysis. 2nd ed. Zbl 0278.26001
Rudin, Walter
1974
Projections on spaces of holomorphic functions in balls. Zbl 0297.47041
Forelli, Frank; Rudin, Walter
1974
Function theory in polydiscs. (Teorija funkcii v polikruge.) Übersetzung aus dem Englischen von V. E. Kacnel’son und I. E. Ovcarenko. Herausgegeben von I. V. Ostrovskii. Zbl 0294.32001
Rudin, Walter
1974
Riesz decompositions. Zbl 0247.46038
Nagel, Alexander; Rudin, Walter
1974
Functional analysis. Zbl 0253.46001
Rudin, Walter
1973
Limits of ratios of tails of measures. Zbl 0303.60014
Rudin, Walter
1973
The segmental variation of holomorphic functions. Zbl 0262.30034
Rudin, Walter
1973
A generalization of a theorem of Archimedes. Zbl 0278.50003
Rudin, Walter
1973
A very slowly convergent sequence of continuous functions. Zbl 0262.40002
Rudin, Walter
1973
Invariant means on $$L^\infty$$. Zbl 0238.43002
Rudin, Walter
1972
Invariant means on $$L^ \infty$$. Zbl 0215.47004
Rudin, W.
1972
Factorizations of bounded holomorphic functions. Zbl 0265.32004
Ahern, P. R.; Rudin, Walter
1972
Lectures on the edge-of-the-wedge theorem. Zbl 0214.09001
Rudin, W.
1971
Harmonic analysis in polydiscs. Zbl 0233.32002
Rudin, Walter
1971
An extension theorem for positive-definite functions. Zbl 0194.36001
Rudin, W.
1970
Function theory in polydiscs. Zbl 0177.34101
Rudin, W.
1969
Approximation by inner functions. Zbl 0189.13803
Douglas, R. G.; Rudin, W.
1969
Pairs of inner functions on finite Riemann surfaces. Zbl 0177.10803
Rudin, Walter
1969
Convex combinations of unimodular functions. Zbl 0175.44701
Rudin, W.
1969
Modules over polydisc algebras. Zbl 0176.38201
Rudin, W.; Stout, E. L.
1969
A geometric criterion for algebraic varieties. Zbl 0157.13202
Rudin, W.
1968
Modifications of Fourier transforms. Zbl 0177.42301
Rudin, W.
1968
Modification sets of density zero. Zbl 0157.20901
Rudin, W.
1968
Proof of a conjecture of Helson. Zbl 0159.11001
Rudin, W.
1968
A generalization of a theorem of Frostman. Zbl 0185.33301
Rudin, W.
1967
...and 66 more Documents
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#### Cited by 11,762 Authors

 40 Stević, Stevo 33 Bernal-Gonzàlez, Luis 33 Izuchi, Keiji 32 Choe, Boo Rim 32 Jørgensen, Palle E. T. 30 Alpay, Daniel Aron 30 Rudin, Walter 28 Koo, Hyungwoon 27 Serra-Capizzano, Stefano 26 Stochel, Jan 25 Forstnerič, Franc 24 Nestoridis, Vassili 22 Globevnik, Josip 22 Krantz, Steven George 22 Xia, Jingbo 21 Doubtsov, Evgueni Sergeevich 21 Li, Songxiao 20 Colombo, Fabrizio 20 Izuchi, Kou Hei 19 Sabadini, Irene 19 Saeki, Sadahiro 18 Lee, Young Joo 17 Fernández-Sánchez, Juan 16 Agranovsky, Mark L. 16 Shapiro, Joel H. 15 Benedetto, John J. 15 Bourgain, Jean 15 Guo, Kunyu 15 Lu, Yufeng 14 Ball, Joseph Anthony 14 Gauthier, Paul M. 14 Graham, Colin C. 14 Hare, Kathryn E. 14 Izuchi, Yuko 14 Nakazi, Takahiko 14 Qian, Tao 14 Simon, Barry 14 Trutschnig, Wolfgang 14 Zhu, Kehe 13 Farahi, Mohammad Hadi 13 Jung, Il Bong 13 Menegatto, Valdir Antonio 13 Muir, Jerry R. jun. 13 Ostaszewski, Adam J. 13 Popescu, Gelu 13 Sarkar, Jaydeb 13 Stout, Edgar Lee 13 Zheng, Dechao 12 Baake, Michael 12 Bingham, Nicholas Hugh 12 Calderón-Moreno, María del Carmen 12 Hamada, Hidetaka 12 Jabłoński, Zenon Jan 12 Pfeffer, Washek F. 12 Queffélec, Hervé 12 Rubel, Lee Albert 12 Saksman, Eero 12 Yang, Dachun 12 Yang, Rongwei 12 Yao, Jen-Chih 11 Bayart, Frédéric 11 Knese, Greg 11 Kunen, Kenneth 11 Liu, Congwen 11 Moretti, Valter 11 Pavlović, Miroslav 11 Reich, Simeon 11 Ricker, Werner Joseph 11 Rodríguez-Piazza, Luis 11 Sanguineti, Marcello 11 Schick, Anton 11 Seoane-Sepúlveda, Juan Benigno 11 Shapiro, Victor L. 11 Shkredov, Il’ya Dmitrievich 11 Temam, Roger Meyer 11 Wold, Erlend Fornæss 10 Baratchart, Laurent 10 Brudnyi, Alexander 10 Bultheel, Adhemar François 10 Butzer, Paul Leo 10 Cao, Guangfu 10 Čučković, Željko 10 de Jeu, Marcel 10 Dunkl, Charles F. 10 Dutkay, Dorin Ervin 10 Edwards, Robert Edmund 10 Fang, Quanlei 10 Gnecco, Giorgio 10 Kaniuth, Eberhard 10 Kaufman, Robert P. 10 Lau, Anthony To-Ming 10 Leblond, Juliette 10 Luh, Wolfgang 10 Luo, Zhendong 10 McCarthy, John Edward 10 Mortini, Raymond 10 Ouyang, Caiheng 10 Ren, Guangbin 10 Sasane, Amol J. 10 Shamoyan, Romi F. ...and 11,662 more Authors
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#### Cited in 846 Serials

 640 Journal of Mathematical Analysis and Applications 524 Proceedings of the American Mathematical Society 420 Journal of Functional Analysis 383 Transactions of the American Mathematical Society 157 Journal of Approximation Theory 142 Integral Equations and Operator Theory 140 Advances in Mathematics 128 Mathematische Annalen 127 Mathematische Zeitschrift 127 Linear Algebra and its Applications 108 Journal of Differential Equations 102 Annales de l’Institut Fourier 97 Journal d’Analyse Mathématique 96 Complex Analysis and Operator Theory 94 Israel Journal of Mathematics 94 Topology and its Applications 88 Journal of Computational and Applied Mathematics 84 Automatica 81 Mathematical Notes 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 75 Archiv der Mathematik 74 Rocky Mountain Journal of Mathematics 74 Arkiv för Matematik 70 Journal of Optimization Theory and Applications 70 Journal of Mathematical Sciences (New York) 68 Systems & Control Letters 67 Applied Mathematics and Computation 65 Communications in Mathematical Physics 65 The Journal of Fourier Analysis and Applications 65 Bulletin of the American Mathematical Society 60 The Journal of Geometric Analysis 59 Stochastic Processes and their Applications 55 Journal of Mathematical Physics 55 Monatshefte für Mathematik 55 Indagationes Mathematicae. New Series 54 Fuzzy Sets and Systems 53 Tohoku Mathematical Journal. Second Series 52 Siberian Mathematical Journal 50 Duke Mathematical Journal 49 Journal of Mathematical Economics 48 Acta Mathematica Sinica. English Series 47 Archive for Rational Mechanics and Analysis 47 Annali di Matematica Pura ed Applicata. Serie Quarta 46 Journal of Economic Theory 45 Constructive Approximation 44 Journal of Multivariate Analysis 43 Numerical Functional Analysis and Optimization 43 Computational Methods and Function Theory 41 International Journal of Control 41 Theoretical Computer Science 41 Statistics & Probability Letters 41 Complex Variables and Elliptic Equations 41 Nonlinear Analysis. Theory, Methods & Applications 39 Bulletin of the Australian Mathematical Society 39 Positivity 38 Computers & Mathematics with Applications 37 Journal of Statistical Physics 37 Acta Mathematica 37 The Annals of Probability 37 Acta Mathematica Hungarica 35 Journal of Soviet Mathematics 34 Results in Mathematics 34 Aequationes Mathematicae 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Abstract and Applied Analysis 32 Applied and Computational Harmonic Analysis 31 Mathematics of Computation 31 Czechoslovak Mathematical Journal 30 Inventiones Mathematicae 29 Journal of Econometrics 29 Rendiconti del Circolo Matemàtico di Palermo. Serie II 29 SIAM Journal on Control and Optimization 29 The Annals of Applied Probability 28 Semigroup Forum 28 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 28 Potential Analysis 28 Mediterranean Journal of Mathematics 27 The Annals of Statistics 27 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 26 Information Sciences 26 Numerische Mathematik 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Applicable Analysis 25 Proceedings of the Steklov Institute of Mathematics 24 Ukrainian Mathematical Journal 24 Integral Transforms and Special Functions 24 Annales Henri Poincaré 23 Probability Theory and Related Fields 23 Science in China. Series A 23 Calculus of Variations and Partial Differential Equations 23 Journal of Inequalities and Applications 22 Functional Analysis and its Applications 22 Memoirs of the American Mathematical Society 22 Acta Applicandae Mathematicae 22 Physica D 22 Journal of Theoretical Probability 22 MCSS. Mathematics of Control, Signals, and Systems 22 Bernoulli 22 Journal of the Australian Mathematical Society 21 Bulletin de la Société Mathématique de France ...and 746 more Serials
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#### Cited in 63 Fields

 1,986 Operator theory (47-XX) 1,955 Functional analysis (46-XX) 1,224 Several complex variables and analytic spaces (32-XX) 1,068 Functions of a complex variable (30-XX) 944 Partial differential equations (35-XX) 888 Probability theory and stochastic processes (60-XX) 816 Harmonic analysis on Euclidean spaces (42-XX) 713 Abstract harmonic analysis (43-XX) 598 Numerical analysis (65-XX) 502 Systems theory; control (93-XX) 476 Statistics (62-XX) 423 Approximations and expansions (41-XX) 423 Calculus of variations and optimal control; optimization (49-XX) 412 Ordinary differential equations (34-XX) 373 Measure and integration (28-XX) 370 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 366 Dynamical systems and ergodic theory (37-XX) 363 Real functions (26-XX) 357 Operations research, mathematical programming (90-XX) 309 Topological groups, Lie groups (22-XX) 297 Potential theory (31-XX) 291 General topology (54-XX) 265 Quantum theory (81-XX) 261 Number theory (11-XX) 243 Computer science (68-XX) 226 Linear and multilinear algebra; matrix theory (15-XX) 204 Integral equations (45-XX) 200 Global analysis, analysis on manifolds (58-XX) 185 Information and communication theory, circuits (94-XX) 178 Statistical mechanics, structure of matter (82-XX) 178 Biology and other natural sciences (92-XX) 176 Mathematical logic and foundations (03-XX) 161 Integral transforms, operational calculus (44-XX) 153 Fluid mechanics (76-XX) 140 Mechanics of deformable solids (74-XX) 138 Differential geometry (53-XX) 117 Difference and functional equations (39-XX) 117 Convex and discrete geometry (52-XX) 110 Combinatorics (05-XX) 110 Special functions (33-XX) 92 Algebraic geometry (14-XX) 87 Group theory and generalizations (20-XX) 87 Sequences, series, summability (40-XX) 54 Order, lattices, ordered algebraic structures (06-XX) 48 Manifolds and cell complexes (57-XX) 46 Relativity and gravitational theory (83-XX) 44 Mechanics of particles and systems (70-XX) 42 Optics, electromagnetic theory (78-XX) 39 Associative rings and algebras (16-XX) 37 Nonassociative rings and algebras (17-XX) 36 Commutative algebra (13-XX) 35 Field theory and polynomials (12-XX) 29 Category theory; homological algebra (18-XX) 28 Classical thermodynamics, heat transfer (80-XX) 23 Algebraic topology (55-XX) 18 General and overarching topics; collections (00-XX) 18 History and biography (01-XX) 15 Geometry (51-XX) 15 Geophysics (86-XX) 10 $$K$$-theory (19-XX) 10 Mathematics education (97-XX) 8 General algebraic systems (08-XX) 8 Astronomy and astrophysics (85-XX)

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