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Table of contents (19 chapters)
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Front Matter
Keywords
About this book
The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material.
For mathematicians, mathematical physicists and engineers whose work involves generalized functions.
Bibliographic Information
Book Title: Applied Hyperfunction Theory
Authors: Isao Imai
Series Title: Mathematics and its Applications
DOI: https://doi.org/10.1007/978-94-011-2548-2
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1992
Hardcover ISBN: 978-0-7923-1507-0Published: 31 May 1992
Softcover ISBN: 978-94-010-5125-5Published: 05 November 2012
eBook ISBN: 978-94-011-2548-2Published: 09 March 2013
Series ISSN: 0924-4913
Edition Number: 1
Number of Pages: XIX, 438
Topics: Analysis, Theoretical, Mathematical and Computational Physics