Distribution theory and transform analysis. An introduction to generalized functions, with applications. Reprint, slightly corrected. (English) Zbl 0643.46028

Zemanian, A. H.

New York: Dover Publications, Inc. XII, 371 p.; $ 8.95 (1987).

For a review on the original edition (1965) see Zbl 0127.07201.

MSC:

46F12	Integral transforms in distribution spaces
46F05	Topological linear spaces of test functions, distributions and ultradistributions
46F10	Operations with distributions and generalized functions
46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
44A10	Laplace transform
44A15	Special integral transforms (Legendre, Hilbert, etc.)

Keywords:

Fourier transform; Laplace transform; convolution; tempered distributions; ultradistributions; linear differential and difference equations; periodic distribution; Fourier series