Integral transforms of generalized functions. Transl. from the Russian. (English) Zbl 0729.46016
New York etc.: Gordon & Breach Science Publishers. xi, 343 p. (1989).
This book is a survey of the definition of integral transforms of generalized functions and their main properties. In every case the reader is referred to the original papers. Sometimes various definitions of the same transformation are given. Examples are Fourier-, Laplace- and Mellin-transforms, Stieltjes- and Hilbert-transforms, transforms which Bessel functions in the kernel, transforms involving hypergeometric functions etc. Tables of Fourier transforms and right-sided Laplace transforms are added.
It is a revised and enlarged version of the Russian editions of 1977 and 1984, cf. Zbl 0464.46039.
It is a revised and enlarged version of the Russian editions of 1977 and 1984, cf. Zbl 0464.46039.
Reviewer: H.J.Glaeske (Jena)
MSC:
| 46F12 | Integral transforms in distribution spaces |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 46-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis |
