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Lectures on Integral Transforms (Translations of Mathematical Monographs) (English and Russian Edition) - Softcover
Synopsis
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.
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Language Notes
Text: English, Russian (translation)
"About this title" may belong to another edition of this title.
- PublisherAmerican Mathematical Society
- Publication date1988
- ISBN 10 0821845241
- ISBN 13 9780821845240
- BindingPaperback
- LanguageEnglish
- Number of pages108
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