Introduction to Hyperfunctions and Their Integral Transforms: An Applied and Computational Approach

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Springer Science & Business Media, Mar 12, 2010 - Mathematics - 432 pages
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This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many concrete examples.

 

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Contents

Chapter 1 Introduction to Hyperfunctions
1
Chapter 2 Analytic Properties
63
Chapter 3 Laplace Transforms
155
Chapter 4 Fourier Transforms
241
Chapter 5 Hilbert Transforms
275
Chapter 6 Mellin Transforms
309
Chapter 7 Hankel Transforms
337
Appendix A Complements
373
Appendix B Tables
394
Bibliography
407
List of Symbols
410
Index
413
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