Integral Transforms of Generalized Functions and Their Application
Edition: First edition
Publisher: Gordon & Breach Science Publishers Ltd; Routledge (Reprint)
Published: January 29, 1998; 2017 (Reprint)
Place of publication: Amsterdam, Netherlands; New York, USA
Language: eng
Format: Hardcover
Number of pages: 436
ISBN-13: 9782884492195; 9781315092638
Copyright date: ©1998
First sentence: This chapter serves as a brief introduction to ideas from the theory of locally convex spaces.
Description: For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.
Notes: Contains bibliographical references from page 387-399,  and index from 401-414.
Table of contents: title: -1. Normed and Countably Normed Spaces; title: -2. Fourier Transforms of Distributions; title: -3. Fourier Transforms of Ultradistributions; title: -4. Laplace Transform; title: -5. Stieltjes Transform; title: -6. Hilbert Transform; title: -7. Mellin and Watson Transforms; title: -8. Hankel Transforms of Distributions; title: -9. Hankel Transforms of Ultradistributions; title: -10. Kontorovich-Lebedev Transform; title: -11. Generalized Mehler-Fock Transform; title: -12. Eigenfunction Expansion of Generalized Functions; title: - Bibliography; title: - Index of Symbols; title: - Author Index; title: - Subject Index