Nachman Aronszajn

Nachman Aronszajn's AcademicInfluence.com Rankings

Nachman Aronszajn

Mathematics

#635

Historical Rank

Measure Theory

#364

Historical Rank

mathematics Degrees

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Mathematics

Nachman Aronszajn's Degrees

PhD Mathematics University of Warsaw

Why Is Nachman Aronszajn Influential?

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According to Wikipedia, Nachman Aronszajn was a Polish American mathematician. Aronszajn's main field of study was mathematical analysis, where he systematically developed the concept of reproducing kernel Hilbert space. He also contributed to mathematical logic.

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Nachman Aronszajn'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

Theory of Reproducing Kernels. (1950) (5487)
Theory of Bessel potentials. I (1961) (369)
EXTENSION OF UNIFORMLY CONTINUOUS TRANSFORMATIONS AND HYPERCONVEX METRIC SPACES (1956) (366)
Differentiability of Lipschitzian mappings between Banach spaces (1976) (183)
A unique continuation theorem for exterior differential forms on Riemannian manifolds (1962) (172)
INVARIANT SUBSPACES OF COMPLETELY CONTINOUS OPERATIONS (1954) (144)
On exponential representations of analytic functions in the upper half-plane with positive imaginary part (1956) (140)
On a problem of Weyl in the theory of singular : Sturm-Liouville equations (1957) (127)
Interpolation spaces and interpolation methods (1965) (122)
Le Correspondant Topologique De L'Unicite Dans La Theorie Des Equations Differentielles (1942) (120)
La théorie des noyaux reproduisants et ses applications Première Partie (1943) (90)
On spaces of potentials connected with $L^p$ classes (1963) (69)
FUNCTIONAL SPACES AND FUNCTIONAL COMPLETION (1956) (61)
Sur les décompositions des fonctions analytiques uniformes et sur leurs applications (1935) (44)
ALGEBRAIC SPECTRAL PROBLEMS. (1968) (43)
On general integral transformations (1966) (37)
Rayleigh-Ritz and A. Weinstein Methods for Approximation of Eigenvalues: I. Operations in a Hilbert Space. (1948) (32)
Introduction to the theory of Hilbert spaces (1950) (32)
Differential operators on Riemannian manifolds (1953) (31)
A supplement to the paper on exponential representations of analytic functions in the upper half-plane with positive imaginary part (1964) (22)
THEORY OF BESSEL POTENTIALS. PART II. REVISED VERSION. (1964) (15)
Finite dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems (1968) (15)
On the Unified Theory of Eigenvalues of Plates and Membranes (1942) (15)
Theory of Bessel potentials. III : potentials on regular manifolds (1969) (14)
Lecture series of the symposium on partial differential equations : held at the University of California, at Berkeley, June 20-July 1, 1955 (1957) (12)
Sur la somme et le produit combinatoire des rétractes absolus (1932) (10)
The Rayleigh-Ritz and the Weinstein Methods for Approximation of Eigenvalues: II. Differential Operators. (1948) (10)
Existence, Convergence and Equivalence in the Unified Theory of Eigenvalues of Plates and Membranes. (1941) (9)
Correction to: “Extension of uniformly continuous transformations in hyperconvex metric spaces” (1957) (8)
Quelques remarques sur les relations entre les notions d’écart régulier et de distance (1938) (7)
Sub-Cartesian spaces (1980) (7)
Theory of Bessel potentials. IV. Potentials on subcartesian spaces with singularities of polyhedral type (1975) (7)
Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle (1973) (3)
Properties of a Class of Double Intergrals (1945) (3)
Characterisation of types of order satisfying $α_0+α_1 = α_1+α_0$ (1952) (2)
STUDIES IN EIGENVALUE PROBLEMS. THEORY OF BESSEL POTENTIALS. PART II (1961) (2)
Contributions to Functional Analysis (1966) (1)
Approximation des fonctions harmoniques et quelques problèmes de transformation conforme (1939) (1)
Note additionnelle à l'article ‘La théorie des noyaux reproduisants et ses applications’ (1943) (1)
STUDIES IN EIGENVALUE PROBLEMS-VARIATIONAL APPROXIMATION METHODS APPLIED TO EIGENVALUES OF A CLAMPED RECTANGULAR PLATE-PART I: AUXILIARY PROBLEMS (1954) (1)
Sur les invariants des transformations continues d'ensembles (1932) (1)
ON FUNCTIONS ANALYTIC IN THE UPPER HALF-PLANE (1962) (0)
Construction de solutions des problèmes aux limites pour l'opérateur biharmonique dans un rectangle (1974) (0)
General Cauchy formulas in $\mathbb {C}^n$ (1976) (0)

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