Lectures on Integral Transforms (Translations of Mathematical Monographs)

N. I. Akhiezer

ISBN 10: 0821845241 / ISBN 13: 9780821845240

Published by American Mathematical Society, 1988

About this Item

Focuses on classical integral transforms, principally the Fourier transform, and their applications. This book develops the general theory of the Fourier transform for the space $L^1(E_n)$ of integrable functions of $n$ variables. Series: Translations of Mathematical Monographs. Num Pages: 108 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. . . 1988. Paperback. . . . .

Seller Inventory # V9780821845240

Bibliographic Details

• Title: Lectures on Integral Transforms (Translations of Mathematical Monographs)
• Publisher: American Mathematical Society
• Publication Date: 1988
• Language: English
• ISBN 10: 0821845241
• ISBN 13: 9780821845240
• Binding: Soft cover
• Condition: New

About this title

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.

Language Notes

Text: English, Russian (translation)