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Most Influential Person

Polish-American mathematician

According to Wikipedia, Nachman Aronszajn was a Polish American mathematician. Aronszajn's main field of study was mathematical analysis. He also contributed to mathematical logic. Life An Ashkenazi Jew, Aronszajn received his Ph.D. from the University of Warsaw, in 1930, in Poland. Stefan Mazurkiewicz was his thesis advisor. He also received a Ph.D. from Paris University, in 1935; this time Maurice Fréchet was his thesis advisor. He joined the Oklahoma A&M faculty, but moved to the University of Kansas in 1951 with his colleague Ainsley Diamond after Diamond, a Quaker, was fired for refusing to sign a newly instituted loyalty oath. Aronszajn retired in 1977. He was a Summerfield Distinguished Scholar from 1964 to his death.

- Theory of Reproducing Kernels. (1950) (4986)
- EXTENSION OF UNIFORMLY CONTINUOUS TRANSFORMATIONS AND HYPERCONVEX METRIC SPACES (1956) (333)
- Theory of Bessel potentials. I (1961) (332)
- Differentiability of Lipschitzian mappings between Banach spaces (1976) (164)
- A unique continuation theorem for exterior differential forms on Riemannian manifolds (1962) (147)
- On exponential representations of analytic functions in the upper half-plane with positive imaginary part (1956) (131)
- INVARIANT SUBSPACES OF COMPLETELY CONTINOUS OPERATIONS (1954) (119)
- Interpolation spaces and interpolation methods (1965) (115)
- On a problem of Weyl in the theory of singular : Sturm-Liouville equations (1957) (113)
- Le Correspondant Topologique De L'Unicite Dans La Theorie Des Equations Differentielles (1942) (104)
- La théorie des noyaux reproduisants et ses applications Première Partie (1943) (93)
- On spaces of potentials connected with $L^p$ classes (1963) (61)
- FUNCTIONAL SPACES AND FUNCTIONAL COMPLETION (1956) (55)
- Sur les décompositions des fonctions analytiques uniformes et sur leurs applications (1935) (39)
- ALGEBRAIC SPECTRAL PROBLEMS. (1968) (38)
- On general integral transformations (1966) (34)
- Introduction to the theory of Hilbert spaces (1950) (32)
- Differential operators on Riemannian manifolds (1953) (32)
- Rayleigh-Ritz and A. Weinstein Methods for Approximation of Eigenvalues: I. Operations in a Hilbert Space. (1948) (30)
- A supplement to the paper on exponential representations of analytic functions in the upper half-plane with positive imaginary part (1964) (17)
- THEORY OF BESSEL POTENTIALS. PART II. REVISED VERSION. (1964) (14)
- On the Unified Theory of Eigenvalues of Plates and Membranes (1942) (14)
- Finite dimensional perturbations of spectral problems and variational approximation methods for eigenvalue problems (1968) (13)
- Theory of Bessel potentials. III : potentials on regular manifolds (1969) (12)
- Lecture series of the symposium on partial differential equations : held at the University of California, at Berkeley, June 20-July 1, 1955 (1957) (12)
- 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)
- Sur la somme et le produit combinatoire des rétractes absolus (1932) (9)
- Quelques remarques sur les relations entre les notions d’écart régulier et de distance (1938) (8)
- Correction to: “Extension of uniformly continuous transformations in hyperconvex metric spaces” (1957) (7)
- Theory of Bessel potentials. IV. Potentials on subcartesian spaces with singularities of polyhedral type (1975) (7)
- Sub-Cartesian spaces (1980) (6)
- Properties of a Class of Double Intergrals (1945) (3)
- Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle (1973) (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)
- Approximation des fonctions harmoniques et quelques problèmes de transformation conforme (1939) (1)
- STUDIES IN EIGENVALUE PROBLEMS-VARIATIONAL APPROXIMATION METHODS APPLIED TO EIGENVALUES OF A CLAMPED RECTANGULAR PLATE-PART I: AUXILIARY PROBLEMS (1954) (1)
- Contributions to Functional Analysis (1966) (1)
- Note additionnelle à l'article ‘La théorie des noyaux reproduisants et ses applications’ (1943) (1)
- Sur les invariants des transformations continues d'ensembles (1932) (1)
- General Cauchy formulas in $\mathbb {C}^n$ (1976) (0)
- Construction de solutions des problèmes aux limites pour l'opérateur biharmonique dans un rectangle (1974) (0)
- ON FUNCTIONS ANALYTIC IN THE UPPER HALF-PLANE (1962) (0)

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