Lennart Carleson | Academic Influence

Lennart Carleson's AcademicInfluence.com Rankings

Lennart Carleson

Mathematics

#221

World Rank

#490

Historical Rank

Measure Theory

#1284

World Rank

#1626

Historical Rank

mathematics Degrees

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Mathematics

Lennart Carleson's Degrees

PhD Mathematics Uppsala University

Why Is Lennart Carleson Influential?

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According to Wikipedia, Lennart Axel Edvard Carleson is a Swedish mathematician, known as a leader in the field of harmonic analysis. One of his most noted accomplishments is his proof of Lusin's conjecture. He was awarded the Abel Prize in 2006 for "his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems."

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Lennart Carleson'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 convergence and growth of partial sums of Fourier series (1966) (956)
Interpolations by Bounded Analytic Functions and the Corona Problem (1962) (927)
The Dynamics of the Henon Map (1991) (787)
An Interpolation Problem for Bounded Analytic Functions (1958) (567)
Selected Problems on Exceptional Sets (1998) (396)
Oscillatory integrals and multiplier problem for the disc (1972) (288)
On Iterations of 1 - ax 2 on (- 1,1) (1985) (262)
Sets of uniqueness for functions regular in the unit circle (1952) (215)
Some analytic problems related to statistical mechanics (1980) (197)
On the existence of boundary values for harmonic functions in several variables (1962) (97)
On mappings, conformal at the boundary (1967) (88)
On coefficient problems for univalent functions and conformal dimension (1992) (86)
Julia and John (1994) (82)
A representation formula for the Dirichlet integral (1960) (81)
On the support of harmonic measure for sets of Cantor type (1985) (67)
Two remarks on H1 and BMO (1976) (62)
Mergelyan's Theorem on Uniform Polynomial Approximation. (1964) (61)
Harmonic measures supported on curves. (1989) (60)
Aggregation in the Plane and Loewner's Equation (2001) (56)
Some results connected with Brennan's conjecture (1994) (55)
Laplacian path models (2002) (50)
On a class of meromorphic functions and its associated exceptional sets (1950) (44)
On the zeros of functions with bounded Dirichlet integrals (1952) (44)
Representations of continuous functions (1956) (44)
Removable Singularities of Continuous Harmonic Functions in Rm. (1963) (40)
Interpolating sequences and separation properties (1975) (35)
Best uniform approximation by analytic functions (1972) (34)
The corona theorem (1969) (33)
On Universal Moment Problems. (1961) (30)
On Berstein’s approximation problem (1951) (28)
On the distortion of sets on a Jordan curve under conformal mapping (1973) (26)
The Extension Problem for Quasiconformal Mappings (1974) (26)
On null-sets for continuous analytic functions (1951) (23)
On infinite differential equations with constant coefficients. I (1953) (21)
On the connection between hausdorff measures and capacity (1958) (18)
On bounded analytic functions and closure problems (1952) (18)
RESEARCH ON INTERPOLATION PROBLEMS (1962) (15)
Two Remarks on the Basic Theorems of Information Theory. (1958) (15)
A remark on Picard's theorem (1961) (13)
The analytic continuation of interpolatory functions (1959) (12)
A proof of an inequality of Carleman (1954) (10)
Appendix to the Paper of J.-P. Kahane and Y. Katznelson (1983) (10)
Stochastic behavior of deterministic systems (1991) (9)
Asymptotic paths for subharmonic functions in R^n (1976) (6)
Stochastic models of some dynamical systems (1991) (6)
Estimates of harmonic measures (1982) (5)
Problems in holomorphic dynamics (1992) (5)
Stochastic Behaviour of Deterministic Systems (1989) (4)
The Dynamics of Non-uniformly Hyperbolic Systems in Two Variables (1990) (4)
Arne Beurling in memoriam (1988) (3)
A remark on Denjoy’s inequality and Herman’s theorem (1979) (2)
After the ‘Golden Age’: What Next? (2001) (2)
Algebraic numbers and Fourier analysis . Selected problems on exceptional sets (1983) (1)
Maximal functions and capacities (1965) (1)
Local Geometry of the Fatou Set (1993) (0)
Reflections on My Life as a Mathematician (2010) (0)
Basic Rational Iteration (1993) (0)
Fixed Points and Conjugations (1993) (0)
Interpolation with multiplicities (1985) (0)
Conformal and Quasiconformal Mappings (1993) (0)
Critical Points and Expanding Maps (1993) (0)
Randorn sequences and additive number theory (1956) (0)
Classification of Periodic Components (1993) (0)
Congratulations (2019) (0)
A mathematical genius (2020) (0)
Perspectives in analysis : essays in honor of Lennart Carleson's 75th birthday (2005) (0)
Thomas H. Wolff (1954–2000), Volume 48, Number 5 (2001) (0)
Computations in pure mathematics (Outline of lecture at the B. Engquist conference) (2006) (0)
Applications of Quasiconformal Mappings (1993) (0)

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