Jean-Paul Sartre

Salomon Bochner

"Jean-Paul Sartre's book is a brilliant portrait of both anti-Semite and Jew, written by a non-Jew and from a non-Jewish point of view. Nothing of the anti-Semite either in his subtle form as snob, or in his crude form as gangster, escapes Sartre's sharp eye, and the whole problem of the Jew's relationship to the Gentile is examined in a concrete and living way, rather than in terms of sociological abstractions." -- Back cover.

Anti-Semite and Jew

Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; conversely, the demands of the probability theory stimulated further research into harmonic analysis. Mathematician Salomon Bochner wrote a pair of landmark books on the subject in the 1930s and 40s. In this volume, originally published in 1955, he adopts a more probabilistic view and emphasizes stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; the transforms of Plancherel, Laplace, Poisson, and Mellin; applications to boundary value problems, to Dirichlet series, and to Bessel functions; and the theory of completely monotone functions. The primary significance of this text lies in the last two chapters, which offer a systematic presentation of an original concept developed by the author and partly by LeCam: Bochner's characteristic functional, a Fourier transform on a Euclidean-like space of infinitely many dimensions. The characteristic functional plays a role in stochastic processes similar to its relationship with numerical random variables, and thus constitutes an important part of progress in the theory of stochastic processes.

Harmonic Analysis and the Theory of Probability

Salomon Trust

The description for this book, Lectures on Fourier Integrals. (AM-42), Volume 42, will be forthcoming.

Lectures on Fourier Integrals

The present volume reflects both the diversity of Bochner's pursuits in pure mathematics and the influence his example and thought have had upon contemporary researchers. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

A Symposium in Honor of Salomon Bochner

Problems in Analysis

Collected papers of Salomon Bochner, American mathematician, known for work in mathematical analysis, probability theory and differential geometry.

Collected Papers of Salomon Bochner

During his long and productive career, Salomon Bochner worked in a variety of different areas of mathematics. This four-part set brings together his collected papers, illustrating the range and depth of his mathematical interests. The books are available either individually or as a set.

Salomon Bochner

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