Walter Rudin

Q: What Schools Are Affiliated With Walter Rudin

Walter Rudin is affiliated with the following schools: Yale University, University of Wisconsin–Madison, Massachusetts Institute of Technology, University of Rochester, Duke University

Walter Rudin's AcademicInfluence.com Rankings

Walter Rudin

Mathematics

#83

World Rank

#232

Historical Rank

#32

USA Rank

Measure Theory

#43

World Rank

#76

Historical Rank

#24

USA Rank

mathematics Degrees

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Mathematics

Walter Rudin's Degrees

PhD Mathematics Duke University

Why Is Walter Rudin Influential?

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According to Wikipedia, Walter Rudin was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison. In addition to his contributions to complex and harmonic analysis, Rudin was known for his mathematical analysis textbooks: Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis. Rudin wrote Principles of Mathematical Analysis only two years after obtaining his Ph.D. from Duke University, while he was a C. L. E. Moore Instructor at MIT. Principles, acclaimed for its elegance and clarity, has since become a standard textbook for introductory real analysis courses in the United States.

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Walter Rudin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Principles of mathematical analysis (1964) (6782)
Real and complex analysis (1968) (6087)
Fourier Analysis on Groups (1965) (2511)
Function Theory in the Unit Ball of Cn (1980) (2277)
Real and complex analysis, 3rd ed. (1987) (1370)
Function theory in polydiscs (1969) (531)
Some theorems on Fourier coefficients (1959) (321)
Homogeneity Problems in the Theory of Čech Compactifications (1956) (273)
Projections on Spaces of Holomorphic Functions in Balls (1974) (230)
Holomorphic Maps from C n to C n (1988) (208)
Fourier Analysis on Groups: Rudin/Fourier (1990) (197)
Trigonometric Series with Gaps (1960) (151)
Extreme points and extremum problems in H1 (1958) (143)
Mean convergence of orthogonal series (1952) (138)
Analytic functions of class _ (1955) (131)
The extension problem for positive-definite functions (1963) (124)
Tangential boundary behavior of function in Dirichlet-type spaces (1982) (122)
Holomorphic maps from ⁿ to ⁿ (1988) (120)
Continuous functions on compact spaces without perfect subsets (1957) (115)
Lectures on the edge-of-the-wedge theorem (1971) (92)
An Invariant Volume-Mean-Value Property (1993) (91)
The radial variation of analytic functions (1955) (89)
Boundary values of continuous analytic functions (1956) (89)
Real & Complex Analysis (1987) (88)
THE ISOMETRIES OF SOME FUNCTION SPACES (1960) (81)
The Closed Ideals in an Algebra of Analytic Functions (1957) (74)
New constructions of functions holomorphic in the unit ball of C [italic superscript n] (1986) (73)
APPROXIMATION BY INNER FUNCTIONS (1969) (71)
Injective Polynomial Maps Are Automorphisms (1995) (64)
HOLOMORPHIC MAPS FROM C " TO C " (2010) (62)
Subalgebras of spaces of continuous functions (1956) (59)
Lacunarity and the Bohr topology (1999) (58)
Techniques of Bounding the Probability of Decoding Error for Block Coded Modulation Structures (1994) (54)
Invariant means on $L^{∞}$ (1972) (53)
Moebius-invariant function spaces on balls and spheres (1976) (52)
A Stability Theorem (1999) (52)
PROJECTIONS ON INVARIANT SUBSPACES (1962) (51)
Positive definite sequences and absolutely monotonic functions (1959) (50)
The functions which operate on Fourier transforms (1959) (49)
Idempotents in group rings (1964) (47)
DIVISION IN ALGEBRAS OF INFINITELY DIFFERENTIABLE FUNCTIONS (1961) (44)
An extension theorem for positive-definite functions (1970) (44)
Measure algebras on abelian groups (1959) (44)
ANALYTIC FUNCTIONS OF CLASS Hp (2010) (43)
Local Boundary Behavior of Bounded Holomorphic Functions (1978) (43)
Weak almost periodic functions and Fourier-Stieltjes transforms (1959) (43)
Fourier-Stieltjes transforms of measures on independent sets (1960) (43)
Sums of Squares of Polynomials (2000) (41)
Uniqueness theory for Laplace series (1950) (40)
Idempotent measures on Abelian groups. (1959) (36)
Limits of Ratios of Tails of Measures (1973) (33)
An arithmetic property of Riemann sums (1964) (31)
Analyticity, and the maximum modulus principle (1953) (31)
Some theorems on bounded analytic functions (1955) (30)
Pairs of inner functions on finite Riemann surfaces (1969) (30)
Arakelian's approximation theorem (1989) (29)
A Generalization of a Theorem of Frostman. (1967) (29)
Spaces of type $H^\infty +C$ (1975) (28)
Totally Real Embeddings of S 3 in C 3 (1985) (28)
Integral representation of continuous functions (1950) (26)
Remarks on a Theorem of Paley (1957) (26)
Well-Distributed Measurable Sets (1983) (26)
$L^2$-approximation by partial sums of orthogonal developments (1952) (25)
Holomorphic maps that extend to automorphisms of a ball (1981) (24)
The derivative of a Schlichtfunction (1955) (24)
Zeros of holomorphic functions in balls (1976) (24)
Peak-interpolation sets of class $C^{1}$. (1978) (24)
Distortion in several variables (1986) (23)
Averages of continuous functions on compact spaces (1958) (23)
The Stone-Weierstrass property in Banach algebras (1961) (23)
On isomorphisms of group algebras (1958) (23)
Lusin's theorem on areas of conformal maps. (1955) (23)
A maximum principle for sums of subharmonic functions, and the convexity of level sets. (1989) (22)
Inner functions in the unit ball of Cn (1983) (22)
Tauberian theorems for positive harmonic functions (1978) (20)
Representation of Functions by Convolutions (1958) (18)
Real Analysis ( Princeton Lectures in Analysis III ) by (2010) (18)
Linearity of best approximation: a characterization of ellipsoids1) (1961) (17)
Homomorphisms of Group Algebras (2011) (16)
Periodic automorphisms of C^n (1995) (16)
Totally real embeddings of ³ in ³ (1985) (16)
Holomorphic Lipschitz functions in balls (1978) (15)
Totally real Klein bottles in (1981) (15)
Continuous Functions That Are Locally Constant on Dense Sets (1995) (14)
The automorphisms and the endomorphisms of the group algebra of the unit circle (1956) (14)
Shorter Notes: Totally Real Klein Bottles in C 2 (1981) (13)
Inner function images of radii (1979) (13)
Invariant subspaces of H2 on a torus (1985) (13)
A Strong Converse of the Wiener-Levy Theorem (1962) (12)
Proper holomorphic self-maps of plane regions (1991) (12)
Periodic Automorphisms of Cn (2000) (11)
Homogeneous polynomial maps (1984) (11)
Lumer's Hardy spaces. (1977) (11)
Synthesis of binary images from band-limited functions (1989) (11)
FACTORIZATION IN THE GROUP ALGEBRA OF THE REAL LINE. (1957) (11)
M-harmonic products (1991) (11)
Factorizations of bounded holomorphic functions (1972) (10)
Holomorphic maps from ${\bf C}\sp n$ to ${\bf C}\sp n$ (1988) (10)
GEOMETRIC PROPERTIES OF THE GAMMA FUNCTION (1996) (10)
A characterization of harmonic functions (1988) (10)
Holomorphic mappings in several complex variables (1996) (9)
Homomorphisms and translations in L∞(G)☆ (1975) (8)
Real and complex analisis / Walter Rudin (1987) (8)
Essential boundary points (1964) (8)
MODIFICATIONS OF FOURIER TRANSFORMS (1968) (8)
Zero-sets in polydiscs (1967) (7)
The way I remember it (1996) (7)
Zero sets of functions in harmonic Hardy spaces. (1993) (6)
Idempotents in group algebras (1963) (6)
On a problem of Bloch and Nevanlinna (1955) (6)
Proof of a conjecture of Helson (1968) (6)
Independent perfect sets in groups. (1958) (6)
Note of correction: “Homogeneity problems in the theory of Čech compactifications,” vol. 23 (1956), pp. 409–419 (1956) (6)
Autohomeomorphisms of compact groups (1993) (5)
Growth of Volume in Fatou-Bieberbach Regions (1993) (5)
Holomorphic maps of discs into F-spaces (1977) (5)
Inner functions in polydiscs (1967) (5)
Nonuniqueness and Growth in First-Order Differential Equations (1982) (5)
Convex combinations of unimodular functions (1969) (5)
Closed ideals in group algebras (1960) (5)
The lemma of the logarithmic derivative for subharmonic functions (1996) (4)
Modification sets of density zero (1968) (4)
Modules over polydisc algebras (1969) (4)
A Generalization of a Theorem of Archimedes (1973) (4)
Translation-invariant functionals (1962) (4)
Some representing measures for the ball algebra. (1980) (4)
Uniqueness theory of Hermite series (1951) (4)
A theorem on subharmonic functions (1951) (4)
The Basic Theorems of Fourier Analysis (2011) (4)
Moebius-invariant algebras in balls (1983) (4)
Permutations of Taylor coefficients of bounded functions (1961) (3)
Zeros and factorizations of holomorphic functions (1966) (3)
ON THE BEHAVIOR NEAR A TORUS OF FUNCTIONS HOLOMORPHIC IN THE BALL (2004) (3)
Unique Right Inverses Are Two-Sided (1985) (3)
Tangential H∞-images of boundary curves (1988) (3)
Restrictions on the Values of Derivatives (1977) (3)
Principles of mathematical analysis / Walter Rudin (1976) (3)
The variation of holomorphic functions on tangential boundary curves. (1985) (3)
Transcendental and Algebraic Numbers (A. D. Gelfond) (1961) (2)
Inversion of second order differential operators (1952) (2)
Moebius-Invariant Function Spaces (1980) (2)
Preservation of level sets by automorphisms of Cn (1993) (2)
WEIGHTED TANGENTIAL BOUNDARY LIMITS OF SUBHARMONIC FUNCTIONS ON DOMAINS IN R n ( n 2 ) (2013) (2)
Eigenfunctions of the invariant Laplacian inB (1983) (2)
A converse to the high indices theorem (1966) (2)
The Closure of () in () (1986) (2)
The Inner Function Problem (1984) (2)
Pluriharmonic functions in balls (1977) (2)
On the structure of maximum modulus algebras (1958) (2)
Power series with gaps (1996) (1)
PAIRS OF INNER FUNCTIONS ON FINITE (2010) (1)
The Structure of Locally Compact Abelian Groups (2011) (1)
Review: Jean-Pierre Kahane and Raphael Salem, Ensembles parfaits et séries trigonométriques, and Rapael Salem, Algebraic numbers and Fourier analysis (1964) (1)
Composition with inner functions (1984) (1)
NONANALYTIC FUNCTIONS OF ABSOLUTELY CONVERGENT FOURIER SERIES. (1955) (1)
Laplace series and sets of logarithmic capacity zero (1955) (1)
Elementary Problems: E3337-E3342 (1989) (1)
Boundary Behavior of Cauchy Integrals (2008) (1)
TRANSLATES OF SEQUENCES FOR SOME SMALL SETS (2011) (1)
Elementary Problems: E3325-E3330 (1989) (1)
GREEN'S SECOND IDENTITY FOR GENERALIZED LAPLACIANS (1951) (1)
Problems: 10306-10313 (1993) (1)
UNIFORM CROSS NORMS AND TENSOR PRODUCTS OF BANACH ALGEBRAS BY JESÜS GIL DE LAMADRID (2007) (1)
Function theory in balls (1996) (1)
A very slowly convergent sequence of continuous functions (1973) (1)
Positive infinities of potentials (1951) (1)
Functions of Fourier Transforms (2011) (1)
Factorisation des fonctions holomorphes bornees (1973) (1)
Book Review: Invariant potential theory in the unit ball of $\C ^n$ (1995) (1)
The segmental variation of holomorphic functions. (1973) (1)
Real and complex analysis / Walter Rudin (1974) (1)
Book Review – Livre nouveau – Buchbesprechung (1974) (0)
Continuity on Open Sets of Full Measure (1986) (0)
A Comment on "A Memory Compression Scheme for Modular Arithmetic" (1984) (0)
MODIFICATIONS OF FOURIER TRANSFORMS1 (2010) (0)
Closed Ideals in L1 (G) (2011) (0)
ℕ and ℂℍ and all that (1996) (0)
Fourier Analysis on Ordered Groups (2011) (0)
Elementary Problems: E3313-E3318 (1989) (0)
Elementary Problems: E3331-E3336 (1989) (0)
List of Special Symbols (2011) (0)
The Pathology of Inner Functions (1986) (0)
The Invariant Laplacian (2008) (0)
The $\bar \partial $-Problem (1980) (0)
Proper Invariant Realizations of Singular System Problems (1990) (0)
Riesz Decompositions (1974) (0)
The Zeros of Nevanlinna Functions (2008) (0)
recent work and of the key words used in it and still not have the faintest idea of what the subject is. (2016) (0)
Intersections of Analytic and Smooth Discs (2015) (0)
1.13. The inner function problem in balls (1984) (0)
Boundary Behavior of Poisson Integrals (2008) (0)
Approximation by -Polynomials (1986) (0)
Unitarily Invariant Function Spaces (2008) (0)
RW-Sequences Revisited (1986) (0)
A theorem on Hurwitz series (1949) (0)
UNIQUENESS THEORY FOR LAPLACE SERIES ( J ) (2010) (0)
Functional analysis / Walter Rudin (1981) (0)
Some L p -Topics (2008) (0)
Closed Subalgebras of L1(G) (2011) (0)
Approximation in ^{1/2} (1986) (0)
Ideals with small automorphisms (1966) (0)
The LSC Property of (1986) (0)
The ¹-Modification Theorem (1986) (0)
HOMOMORPHISMS AND IDEMPOTENTS OF GROUP ALGEBRAS (2007) (0)
Multiplicative groups of analytic functions (1955) (0)
The Existence of Inner Functions (1986) (0)
A Lusin-Type Theorem for () (1986) (0)
Almost Semicontinuous Functions and ̃() (1986) (0)
Consequences of the Schwarz Lemma (2008) (0)
Measures and Fourier Transforms on Thin Sets (2011) (0)
Book Review: Ensembles parfaits et séries trigonométriques (1964) (0)
Review: R. R. Goldberg, Fourier transforms (1961) (0)
Book Review: Fourier transforms (1961) (0)
Advanced Problems: 6646-6648 (1991) (0)
Boundary Behavior of H∞-Functions (2008) (0)
HARDY-CARLESON MEASURES AND THEIR DUAL POISSON-SZEGÖ TRANSFORMS (2011) (0)
INTEGRAL REPRESENTATION OF CONTINUOUS FUNCTIONS(x) (2010) (0)
A bit of history (1996) (0)
Radial Limits and Singular Measures (1986) (0)
Max-Sets and Nonapproximation Theorems (1986) (0)
Interpolation Sets for the Ball Algebra (2008) (0)
Paris and Paramé (1996) (0)
Functions in the Smirnov Class (1986) (0)
Power series with zero-sum on countable sets ∗ (1992) (0)
Solutions to Real and Complex Analysis∗ (2008) (0)
Introductory College Mathematics (2012) (0)
Proper Holomorphic Maps (2008) (0)
A Remark Concerning Graves' Closure Criterion (1953) (0)
PROJECTIONS ON INVARIANT SUBSPACES1 (2010) (0)
Analysis Jump Start Problem solving sessions August 2015 (2015) (0)
Totally real embeddings of $S\sp 3$ in ${\bf C}\sp 3$ (1985) (0)
Bounded Bases in (1986) (0)
Unique Factorization of Gaussian Integers (1961) (0)
Interchanging limit processes (1996) (0)
Fourier series in serveral variables : Summer School in Harmonic Analysis, University of Warwick, 2nd July-6th July 1968 (1968) (0)
Annihilators of Some Function Algebras (1967) (0)
Shorter Notes: A Very Slowly Convergent Sequence of Continuous Functions (1973) (0)
MEASURES INDUCED BY ANALYTIC FUNCTIONS AND A PROBLEM OF WALTER RUDIN (2002) (0)
Tangential Cauchy-Riemann Operators (2008) (0)
The Automorphisms of B (2008) (0)
The Ryll-Wojtaszczyk polynomials (1985) (0)
The finiteness of compact varieties in $C^n$ (1981) (0)
Over 600 people registered for the meeting , including the following 409 members of the Society : (2007) (0)
Advanced Problems: 6598-6600 (1989) (0)
Summer School in Harmonic Analysis, University of Warwick, 1st July- 13th July, 1968 (1968) (0)
Map and photographs (1996) (0)
Erratum : Spaces of type $H^\infty +C$ (1975) (0)
Contents, Vol. 89, 1974 (1974) (0)
Measures Related to the Ball Algebra (2008) (0)
Blaschke Products: Bounded Analytic Functions. By Peter Colwell (1987) (0)
An Elementary Product Identity in (2016) (0)

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What Schools Are Affiliated With Walter Rudin?

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