Salomon Bochner | Academic Influence

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Salomon Bochner

Mathematics

#177

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Differential Geometry

#12

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Probability Theory

#16

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Measure Theory

#36

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Mathematics

Salomon Bochner's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Salomon Bochner Influential?

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According to Wikipedia, Salomon Bochner was an Austrian mathematician, known for work in mathematical analysis, probability theory and differential geometry. Life He was born into a Jewish family in Podgórze , then Austria-Hungary, now Poland. Fearful of a Russian invasion in Galicia at the beginning of World War I in 1914, his family moved to Germany, seeking greater security. Bochner was educated at a Berlin gymnasium , and then at the University of Berlin. There, he was a student of Erhard Schmidt, writing a dissertation involving what would later be called the Bergman kernel. Shortly after this, he left the academy to help his family during the escalating inflation. After returning to mathematical research, he lectured at the University of Munich from 1924 to 1933. His academic career in Germany ended after the Nazis came to power in 1933, and he left for a position at Princeton University. He was a visiting scholar at the Institute for Advanced Study in 1945-48. He was appointed as Henry Burchard Fine Professor in 1959, retiring in 1968. Although he was seventy years old when he retired from Princeton, Bochner was appointed as Edgar Odell Lovett Professor of Mathematics at Rice University and went on to hold this chair until his death in 1982. He became Head of Department at Rice in 1969 and held this position until 1976. He died in Houston, Texas. He was an Orthodox Jew.

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Salomon Bochner'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

Curvature and Betti numbers (1948) (703)
Harmonic Analysis And The Theory Of Probability (1957) (692)
Several complex variables (1949) (608)
Über Sturm-Liouvillesche Polynomsysteme (1929) (434)
Lectures on Fourier Integrals (1959) (411)
A NEW APPROACH TO ALMOST PERIODICITY. (1962) (342)
Vector fields and Ricci curvature (1946) (314)
Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse (1933) (289)
Diffusion Equation and Stochastic Processes. (1949) (237)
Book Review: Einar Hille, Functional analysis and semi-groups (1949) (232)
Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind (1933) (212)
CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS. (1964) (203)
Summation of Multiple Fourier Series by Spherical Means. (1935) (202)
Vorlesungen über Fouriersche Integrale (1952) (163)
Lectures on Fourier Integrals. (AM-42) (1959) (160)
Curvature in Hermitian metric (1947) (149)
Analytic and Meromorphic Continuation by Means of Green's Formula (1943) (126)
Linear Functionals on Certain Spaces of Abstractly-Valued Functions (1938) (120)
Hilbert Distances and Positive Definite Functions (1941) (114)
Compact Groups of Differentiable Transformation (1945) (112)
Beiträge zur Theorie der fastperiodischen Funktionen (1927) (110)
Absolutely Convergent Fourier Expansions for Non-Commutative Normed Rings (1942) (109)
Locally Compact Groups of Differntiable Transformations (1946) (106)
The Role Of Mathematics In The Rise Of Science (1967) (106)
Groups On Analytic Manifolds (1947) (103)
UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS. (1961) (92)
Positive Zonal Functions on Spheres. (1954) (92)
An Introduction to the Theory of Stationary Random Functions. (1964) (87)
A theorem on Fourier-Stieltjes integrals (1934) (84)
Group Invariance of Cauchy's Formula in Several Variables (1944) (80)
Almost periodic functions in groups. II (1935) (77)
Lectures on Fourier integrals : with an author's supplement on monotonic functions, Stieltjes integrals, and harmonic analysis (1959) (77)
Groups of Differentiable and Real or Complex Analytic Transformations (1945) (76)
A Theorem on Analytic Continuation of Functions in Several Variables (1938) (74)
Curvature and Betti Numbers. (AM-32) (1954) (70)
On Compact Solutions of Operational-Differential Equations. I (1935) (62)
Boundary Values of Analytic Functions in Several Variables and of Almost Periodic Functions (1944) (60)
Abstrakte Fastperiodische Funktionen (1933) (59)
SOME PROPERTIES OF MODULAR RELATIONS (1951) (57)
Additive Set Functions and Vector Lattices (1941) (50)
Theta Relations with Spherical Harmonics. (1951) (49)
Additive Set Functions on Groups (1939) (46)
Bloch's theorem for real variables (1946) (43)
Formal Lie Groups (1946) (41)
QUASI-ANALYTIC FUNCTIONS, LAPLACE OPERATOR, POSITIVE KERNELS (1950) (36)
On Riemann's Functional Equation with Multiple Gamma Factors (1958) (36)
CLASSES OF HOLOMORPHIC FUNCTIONS OF SEVERAL VARIABLES IN CIRCULAR DOMAINS. (1960) (35)
Fourier Transforms. (AM-19) (1950) (34)
Über orthogonale Systeme analytischer Funktionen (1922) (33)
Stationarity, Boundedness, Almost Periodicity of Random-valued Functions (1956) (32)
GENERALIZED CONJUGATE AND ANALYTIC FUNCTIONS WITHOUT EXPANSIONS. (1959) (30)
On a Theorem of M. Riesz for Fourier Series (1939) (29)
Stable laws of probability and completely monotone functions (1937) (29)
Bounded Analytic Functions in Several Variables and Multiple Laplace Integrals (1937) (28)
Fortsetzung Riemannscher Flächen (1928) (28)
Hauptlösungen von Differenzengleichungen (1928) (27)
Additive Set Functions on Groups. (1939) (25)
Functions Of Several Complex Variables (1936) (24)
PARTIAL ORDERING IN THE THEORY OF MARTINGALES (1955) (23)
Some Theorems on Quasi-Analyticity for Functions of Several Variables (1939) (23)
Linear Partial Differential Equations, With Constant Coefficients (1946) (22)
Harmonic surfaces in Riemann metric (1940) (20)
SUBORDINATION OF NON-GAUSSIAN STOCHASTIC PROCESSES. (1962) (19)
Completely monotone functions of the Laplace operator for torus and sphere (1937) (19)
Tensor-Fields in Non-Symmetric Connections (1952) (18)
Analytic mapping of compact Riemann spaces into Euclidean space (1937) (17)
Ein Satz von Landau und Ikehara (1933) (17)
Über gewisse Differential- und allgemeinere Gleichungen, deren Lösungen fastperiodisch sind (1930) (17)
Fastperiodische Lösungen der Wellengleichung (1933) (16)
ON RIEMANN'S FUNCTIONAL EQUATION* (1956) (16)
On the localization property for multiple Fourier series (1948) (14)
EULER-POINCAR1 CHARACTERISTIC FOR LOCALLY HOMOGENEOUS AND COMPLEX SPACES* (1950) (13)
Allgemeine lineare Differenzengleichungen mit asymptotisch konstanten Koeffizienten (1931) (12)
Green-Goursat theorem (1955) (12)
Review: Gustav Herglotz, Gesammelte Schriften (1979) (12)
The Significance of Some Basic Mathematical Conceptions for Physics (1963) (12)
Die Poissonsche Summationsformel in mehreren Veränderlichen (1932) (11)
Distribution Functions and Positive-Definite Functions (1934) (11)
Completely monotone functions in partially ordered spaces (1942) (11)
Positivity of the heat kernel for ultraspherical polynomials and similar functions (1979) (11)
A New Viewpoint in Differential Geometry (1951) (10)
Inversion Formulae and Unitary Transformations (1934) (9)
Partial Differential Equations and Analytic Continuations. (1952) (9)
Singularities of Composite Functions in Several Variables (1937) (9)
ZETA FUNCTIONS AND GREEN'S FUNCTIONS FOR LINEAR PARTIAL DIFFERENTIAL OPERATORS OF ELLIPTIC TYPE WITH CONSTANT COEFFICIENTS (1953) (9)
On a Theorem of Tannaka and Krein (1942) (9)
Tensorfields and Ricci Curvature in Hermitian Metric. (1951) (9)
Vector Fields on Complex and Real Manifolds (1950) (8)
Remark on the theorem of Green (1937) (8)
Analytic Functions with Almost Periodic Coefficients (1934) (8)
Finitely Additive Integral (1940) (8)
Notes on Two Theorems of Norbert Wiener (1926) (7)
Finitely Additive Set Functions and Stochastic Processes. (1946) (7)
Ein Satz über lineare Operationen (1929) (7)
TENSOR FIELDS WITH FINITE BASES (1951) (7)
General almost automorphy. (1975) (6)
Ein Konvergenzsatz für mehrvariablige Fouriersche Integrale (1932) (6)
Homogeneous Systems of Differential Equations with Almost Periodic Coefficients (1933) (6)
Fourier Series of $L_2$-Functions (1949) (6)
Beiträge zur Theorie der fastperiodischen Funktionen (6)
ALMOST PERIODIC SOLUTIONS OF THE INHOMOGENEOUS WAVE EQUATION. (1960) (6)
Über gewisse Differential- und allgemeinere Gleichungen, deren Lösungen fastperiodisch sind (1931) (6)
ber gewisse Differential- und allgemeinere Gleichungen, deren Lsungen fastperiodisch sind: II. Teil. Der Beschrnktheitssatz (1930) (5)
Summation of Derived Fourier Series: An Application to Fourier Expansions on Compact Lie Groups (1936) (5)
Absolut-additive abstrakte Mengenfunktionen (1933) (5)
Properties of Fourier Series of Almost Periodic Functions (1926) (5)
I. Green’s Formula and Analytic Continuation (1955) (5)
Revolutions in Physics and Crises in Mathematics. (1963) (5)
Some General Convergence Theorems (1936) (5)
Fourier Series Came First (1979) (5)
Darstellung reellvariabler und analytischer Funktionen durch verallgemeinerte Fourier- und Laplace-Integrale (1927) (4)
I. LOCALIZATION OF BEST APPROXIMATION (1950) (4)
GAMMA FACTORS IN FUNCTIONAL EQUATIONS. (1956) (4)
Summations over lattice points in k-space (1948) (4)
COMPLEX SPACES WITH SINGULARITIES (1953) (4)
Remark on the Integration of Almost Periodic Functions (1933) (4)
Book Review: Introduction to the theory of distribution (1952) (4)
On the addition theorem for multiply periodic functions (1952) (4)
Konvergenzsätze für Fourierreihen grenzperiodischer Funktionen (1928) (4)
Beitrag zur absoluten Konvergenz fastperiodischer Fourierreihen. (4)
A Limit Theorem for the Periodogram (1958) (3)
Fourier Transforms of Time Series. (1953) (3)
Eine Bemerkung zum Satz von Fubini (1933) (3)
BOUNDEDNESS AND STATIONARITY OF TIME SERIES. (1954) (3)
Integration and Differentiation in Partially Ordered Spaces. (1940) (3)
Lectures on commutative algebra (1938) (3)
SUMMATIONS OVER LATTICE POINTS IN κ-SPACE: ( A Supplementary Note ) (1950) (2)
Partial ordering in theory of stochastic processes. (1950) (2)
Limitierung mehrfacher Folgen nach dem Verfahren der arithmetischen Mittel (1932) (2)
The theorem of Morera in several variables (1953) (2)
STRONG LAW OF LARGE NUMBERS FOR SEQUENCES OF ALMOST PERIODIC FUNCTIONS (1959) (2)
Closure Theorems for Translations (1938) (2)
Why Mathematics Grows (1965) (2)
The Rise of Functions (1970) (2)
Length of Random Paths on General Homogeneous Spaces (1953) (2)
Distributive Order-Preserving Operations in Partially Ordered Vector Sets (1947) (2)
Review: J. M. Thomas, Differential Systems (1938) (2)
Vector fields on riemannian spaces with boundary (1961) (2)
EXISTENCE OF FUNCTIONALLY INDEPENDENT AUTOMORPHIC FUNCTIONS. (1955) (2)
Infinite Linear Pseudogroups of Transformations (1962) (1)
Remarks on the Theorems of Picard‐Landau and Picard‐Schottky (1926) (1)
A uniqueness theorem for analytic almost-periodic functions (1939) (1)
Gauss Summability of Trigonometric Integrals (1949) (1)
INTRINSIC ANALYTIC CONTINUATION AND ENVELOPES OF HOLOMORPHY. (1965) (1)
Aristotle’s Physics and Today’s Physics (1964) (1)
Remark on the Euclidean Algorithm (1934) (1)
Hadamard's Theorem for Dirichlet Series (1940) (1)
Complex Spaces With Transitive Commutative Groups of Transformations. (1951) (1)
A Special Integral Transformation in Euclidean Space (1958) (1)
A homogeneous differential system of infinite order with nonvanishing solution (1948) (1)
Selected mathematical papers of Salomon Bochner (1969) (1)
MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS (1959) (1)
A generalization of Poisson’s summation formula (1940) (1)
Potential-theoretic approach to analytic Bohr almost periodic functions in half-planes (1963) (1)
On general Fourier series with gaps (1936) (1)
A Converse of Poisson's Theorem in the Theory of Probability (1936) (1)
Über die Struktur von Fourierreihen fastperiodischer Funktionen (1928) (1)
The Emergence of Analysis in the Renaissance and After (1978) (1)
CHAPTER VI. GENERAL TAUBERIAN THEOREMS (1950) (0)
STATIONARY SPACE-TIME IN GENERAL RELATIVITY. (1955) (0)
Stochastic Processes with Finite and Non-Finite Variance. (1953) (0)
CHAPTER III. THE FOURIER INTEGRAL THEOREM (1959) (0)
STRUCTURE OF COMPLEX SPACES (1953) (0)
Kepler: A personal footnote (1978) (0)
Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion (1954) (0)
INTERPOLATION OF GENERAL BOUNDED AND OF ALMOST PERIODIC SEQUENCES BY FUNCTIONS OF STRATIFIED EXPONENTIAL TYPE. (1964) (0)
Chapter V. Deviation from Flatness (1954) (0)
Mathematical background space in Astronomy and Cosmology (1979) (0)
Intellectual History. (Book Reviews: Eclosion and Synthesis. Perspectives on the History of Knowledge) (1969) (0)
Part II. A Lecture about Einstein (1979) (0)
Chapter I. Riemannian Manifold (1954) (0)
CHAPTER V . GENERAL TRANSFORMS IN L2 (1950) (0)
11.7. Note on Kepler's contribution to mathematical analysis (1975) (0)
CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS (1959) (0)
Differentiable and Riemann metric (1938) (0)
CHAPTER 1. From Myth to Mathematics to Knowledge (1981) (0)
Chapter II. Harmonic and Killing Vectors (1954) (0)
Closure Classes Originating in the Theory of Probability. (1953) (0)
CHAPTER IV. FOURIER TRANSFORMS IN L2 (1950) (0)
CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS (1959) (0)
Chapter 6. The Significance of Some Basic Mathematical Conceptions for Physics (1981) (0)
II. DIRICHLET PROBLEM FOR DOMAINS BOUNDED BY SPHERES (1950) (0)
A GENERALIZATION OF BOUNDED HAAR MEASURE. (1963) (0)
CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS (1959) (0)
COHOMOLOGY OF G/T (0)
Functions of several complex variables./ [by] S. Bochner (1936) (0)
Chapter III. Harmonic and Killing Tensors (1954) (0)
Remarks on Gaussian Sums and Tauberian Theorems (1951) (0)
CHAPTER II. REPRESENTATION — AND SUM FORMULAS (1959) (0)
CHAPTER VIII. QUADRATIC INTEGRABILITV (1959) (0)
Local Transformations with Fixed Points on Complex Spaces with Singularities. (1952) (0)
Chapter 4. Aristotle's Physics and Today's Physics (1981) (0)
CHAPTER II. FOURIER TRANSFORMS IN L1 (SEVERAL VARIABLES (1950) (0)
A formal approach to stochastic stability (1975) (0)
CHAPTER III. Lp -SPACES (1950) (0)
CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES (1959) (0)
Lectures by S. Bochner on Fourier analysis, 1936-1937 (1937) (0)
CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO (1959) (0)
Fourier Integrals. (Scientific Books: Introduction to the Theory of Fourier Integrals) (1938) (0)
Über gewisse Differential- und allgemeinere Gleichungen, deren Lösungen fastperiodisch sind (0)
Chapter 2. How History of Science Differs from Other History (1981) (0)
Functions of integrable square in several complex variables (1938) (0)
Chapter VIII. Kaehler Manifold (1954) (0)
Simultankonvergenz von mehrfachen Fourierschen Reihen und Integralen (1933) (0)
Part II. Biographical Sketches (1981) (0)
Average Distribution of Arbitrary Masses under Group Translations. (1934) (0)
Chapter 7. The Essence of Mathematics (1981) (0)
CHAPTER IV. STIELTJES INTEGRALS (1959) (0)
CHAPTER 8 The Essence of Analysis (1981) (0)
Der Dimensionsbegriff für Punktmengen in kartesischen Räumen (1930) (0)
CHAPTER I. FOURIER TRANSFORMS IN L1 (ONE VARIABLE) (1950) (0)
CHAPTER 5 The Role of Mathematics in the Rise of Mechanics (1981) (0)
LINEAR AND ALGEBRAIC DEPENDENCE OF FUNCTIONS ON COMPACT COMPLEX SPACES WITH SINGULARITIES. (1959) (0)
Chapter IX. Supplements (1954) (0)
LIMIT THEOREMS FOR HOMOGENEOUS STOCHASTIC PROCESSES. (1954) (0)
Sigularities and Discontinuities (1973) (0)
ON IDENTICAL VANISHING OF HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES. (1959) (0)
Chapter IV. Harmonic and Killing Tensors in Flat Manifolds (1954) (0)
Part I. Nineteenth- And Twentieth Century Background (1979) (0)
An Extension of a Tauberian Theorem on Series with Positive Terms (1934) (0)
CHAPTER 3 Revolutions in Physics and Crises in Mathematics (1981) (0)
Chapter VI. Semi-simple Group Spaces (1954) (0)

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