Antoni Zygmund | Academic Influence

Antoni Zygmund's AcademicInfluence.com Rankings

Antoni Zygmund

Mathematics

#287

Historical Rank

Harmonic Analysis

#2

Historical Rank

Measure Theory

#346

Historical Rank

mathematics Degrees

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Mathematics

Antoni Zygmund's Degrees

PhD Mathematics University of Warsaw

Why Is Antoni Zygmund Influential?

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According to Wikipedia, Antoni Zygmund was a Polish mathematician. He worked mostly in the area of mathematical analysis, including especially harmonic analysis, and he is considered one of the greatest analysts of the 20th century. Zygmund was responsible for creating the Chicago school of mathematical analysis together with his doctoral student Alberto Calderón, for which he was awarded the National Medal of Science in 1986.

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Antoni Zygmund'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

On the existence of certain singular integrals (1952) (942)
On Singular Integrals (1956) (789)
Measure and integral : an introduction to real analysis (1977) (693)
Note on the differentiability of multiple integrals (1934) (269)
Singular Integral Operators and Differential Equations (1957) (255)
Local properties of solutions of elliptic partial di erential equations (1961) (252)
On Fourier coefficients and transforms of functions of two variables (1974) (237)
Some properties of trigonometric series whose terms have random signs (1954) (226)
On the summability of double Fourier series (1939) (190)
Notes on random functions (1933) (182)
On Lacunary Trigonometric Series. (1932) (181)
Conference on Harmonic Analysis in honor of Antoni Zygmund (1983) (169)
On some series of functions, (3) (1930) (152)
A Remark on Conjugate Series (1932) (138)
A note on analytic functions in the unit circle (1932) (126)
On singular integrals with variable kernels (1978) (116)
On a Problem of Mihlin (1955) (110)
A note on singular integrals (1979) (100)
Boundedness of translation invariant operators on Hölder spaces and L p -spaces (1967) (99)
On the differentiability of functions and summability of trigonometrical series (1936) (90)
On certain integrals (1944) (88)
Singular integrals and periodic functions (1954) (77)
The approximation of functions by typical means of their Fourier series (1945) (73)
On the Convergence and Summability of Power Series on the Circle of Convergence (II) (1942) (71)
On certain mean values of polynomials (1953) (69)
A theorem of Lusin. Part I (1938) (66)
On the boundary values of functions of several complex variables, I (1949) (64)
On Trigonometric Integrals (1947) (63)
On the convergence of lacunary trigonometric series (63)
On the convergence and summability of power series on the circle of convergence (I) (1938) (59)
A Note on the Interpolation of Sublinear Operations (1956) (57)
Capacity of sets and Fourier series (1946) (55)
On the differentiability of functions (1964) (54)
A gap theorem (1948) (54)
Algebras of Certain Singular Operators (1956) (49)
A Convexity Theorem. (1948) (49)
Lacunary power series and Peano curves (1945) (49)
On higher gradients of harmonic functions (1964) (47)
Some theorems on orthogonal systems (1937) (47)
Some points in the theory of trigonometric and power series (1934) (43)
A note on the interpolation of linear operations (1951) (38)
On the differentiability of functions which are of bounded variation in Tonelli's sense (1962) (37)
Mean values of trigonometrical polynomials (1937) (36)
On the degree of approximation of functions by Fejr means (1945) (32)
Proof of a theorem of Thorin (1944) (31)
A Cantor-Lebesgue theorem for double trigonometric series (1972) (30)
The approximation by partial sums of Fourier series (1946) (30)
On the behavior of trigonometric series and power series (1941) (29)
A Remark on Fourier Transforms (1936) (28)
On the Summability of Multiple Fourier Series (1947) (26)
On the Preservation of Classes of Functions (1959) (25)
A Remark on Characteristic Functions (1947) (25)
On Lacunary Trigonometric Series, II. (1948) (23)
A note on the differentiability of integrals (1967) (22)
V. NOTE ON THE BOUNDARY VALUES OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES (1950) (22)
On a Theorem of Banach. (1947) (21)
On the Littlewood-Paley Function g* (θ) (1956) (20)
On certain lemmas of Marcinkiewicz and Carleson (1969) (19)
An individual ergodic theorem for non-commutative transformations. (1951) (19)
ON THE LITTLEWOOD-PALEY FUNCTION g (theta). (1956) (17)
On a theorem of Hadamard (1948) (15)
A Note on Smooth Functions (1989) (14)
An example in the theory of singular integrals (1965) (14)
VI. ON THE THEOREM OF HAUSDORFF-YOUNG AND ITS EXTENSIONS (1950) (13)
On the Fractional Differentiability of Functions (1965) (12)
Proof of a theorem of Littlewood and Paley (1945) (11)
A note on smooth functions1 (1959) (11)
A NOTE ON LOCAL PROPERTIES OF SOLUTIONS OF ELLIPTIC DIFFERENTIAL EQUATIONS. (1960) (9)
Contributions to Fourier Analysis. (1950) (7)
Contributions to Fourier Analysis. (1950) (7)
On functions of rectangles and their application to analytic functions (1934) (7)
Proof of a gap theorem (1938) (5)
On a Theorem of Ostrowski (1931) (5)
Two Notes on Inequalities (1942) (5)
A Correction to on the Preservation of Classes of Functions (1960) (5)
On certain methods of summability associated with conjugate trigonometric series (1948) (5)
Review: H. G. Hardy, J. E. Littlewood and G. Pólya, Inequalities (1953) (4)
A property of the zeros of Legendre polynomials (1943) (4)
A theorem on fractional derivatives (1945) (4)
Two notes on the summability of infinite series (1948) (3)
On the partial sums of Fourier series (3)
Polish Mathematics between the Two Wars (1919–39) (1989) (3)
Selected papers of Antoni Zygmund (1989) (3)
Addenda to the paper “On a problem of Mihlin” (1957) (3)
Proof of a theorem of Paley (1938) (3)
On the existence of conjugate functions of higher order (1960) (3)
Measure and integration (1961) (3)
On multipliers preserving convergence of trigonometric series almost everywhere (1968) (3)
An example in Fourier series (1948) (3)
A theorem on generalized derivatives (1943) (2)
Complex methods in the theory of Fourier series (1943) (2)
The role of fourier series in the development of analysis (1975) (2)
A Note on Random Trigonometric Polynomials (1956) (2)
On a theorem of Privaloff (1931) (1)
On An Integral Inequality (1933) (1)
A Theorem on the Formal Multiplication of Trigonometric Series (1970) (1)
Addendum to a paper "On singular integrals" (1973) (1)
A NOTE ON SERIES OF SINES (0)
Contributions to Fourier Analysis. (AM-25) (1950) (0)
[54–2] On Certain Mean Values of Polynomials (1982) (0)
On the theorem of Fejér-Riesz (1946) (0)
Approximation of functions: edited by H. L. Garabedian. 220 pages, diagrams, 6 × 9 in. New York, American Elsevier Pub. Co., 1965. Price, $13.00 (1966) (0)
Note on Trigonometrical and Rademacher's Series (1937) (0)

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