A01=H.H. McFaden
A01=N.I. Akhiezer
Author_H.H. McFaden
Author_N.I. Akhiezer
Category=PB
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eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9780821845240
- Weight: 340g
- Publication Date: 30 Dec 1988
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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This book, which grew out of lectures given over the course of several years at Kharkov University for students in the Faculty of Mechanics and Mathematics, is devoted to classical integral transforms, principally the Fourier transform, and their applications. The author develops the general theory of the Fourier transform for the space $L^1(E_n)$ of integrable functions of $n$ variables. His proof of the inversion theorem is based on the general Bochner theorem on integral transforms, a theorem having other applications within the subject area of the book. The author also covers Fourier-Plancherel theory in $L^2(E_n)$. In addition to the general theory of integral transforms, connections are established with other areas of mathematical analysis - such as the theory of harmonic and analytic functions, the theory of orthogonal polynomials, and the moment problem - as well as to mathematical physics.
