Arne Beurling | Academic Influence

Arne Beurling's AcademicInfluence.com Rankings

Arne Beurling

Mathematics

#1729

Historical Rank

Measure Theory

#2249

Historical Rank

mathematics Degrees

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Mathematics

Arne Beurling's Degrees

PhD Mathematics Uppsala University

Why Is Arne Beurling Influential?

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According to Wikipedia, Arne Carl-August Beurling was a Swedish mathematician and professor of mathematics at Uppsala University and later at the Institute for Advanced Study in Princeton, New Jersey. Beurling worked extensively in harmonic analysis, complex analysis and potential theory. The "Beurling factorization" helped mathematical scientists to understand the Wold decomposition, and inspired further work on the invariant subspaces of linear operators and operator algebras, e.g. Håkan Hedenmalm's factorization theorem for Bergman spaces.

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Arne Beurling'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 two problems concerning linear transformations in hilbert space (1949) (736)
Conformal invariants and function-theoretic null-sets (1950) (429)
The boundary correspondence under quasiconformal mappings (1956) (428)
DIRICHLET SPACES. (1959) (266)
The Collected Works of Arne Beurling (1989) (222)
On fourier transforms of measures with compact support (1962) (180)
On the closure of characters and the zeros of entire functions (1967) (180)
Espaces de dirichlet (1958) (159)
Construction and analysis of some convolution algebras (1964) (153)
An Automorphism of Product Measures (1960) (137)
Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I (1937) (130)
A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION. (1955) (103)
Ensembles exceptionnels (1940) (82)
Fourier-Stieltjes transforms with bounded powers (1953) (80)
On the spectral synthesis of bounded functions (1949) (65)
Analytic continuation across a linear boundary (1972) (63)
A theorem on duality mappings in Banach spaces (1962) (61)
L'intégrale de fourier et questions qui s'y rattachent (1939) (59)
Un théorème sur les fonctions bornées et uniformément continues sur l’axe réel (1945) (55)
Études sur un problème de majoration : thèse pour le doctorat (1933) (44)
A theorem on functions defined on a semi-group (1953) (37)
WITH VALUES IN A BANACH SPACE (1988) (33)
A critical topology in harmonic analysis on semigroups (1964) (32)
Some theorems on boundedness of analytic functions (1949) (25)
On analytic extension of semigroups of operators (1970) (24)
On a closure problem (1951) (23)
An extension of the Riemann mapping theorem (1953) (18)
A minimum principle for positive harmonic functions (1966) (18)
Invariants conformes et problèmes extrémaux (1982) (12)
On interpolation, Blaschke products, and balayage of measures (1986) (6)
An extremal property of the Riemann zeta-function (1951) (4)
Sur quelques formes positives avec une application à la théorie ergodique (1946) (2)
SPECIAL PROGRAM IN MATHEMATICAL ANALYSIS. (1968) (0)

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