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Transform analysis of generalized functions
Title:
Transform analysis of generalized functions
Author:
Misra, O. P.
ISBN:
9780444878854
9780080872308
9781281788429
Personal Author:
Publication Information:
Amsterdam ; New York : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986.
Physical Description:
1 online resource (xiv, 332 pages) : illustrations.
Series:
North-Holland mathematics studies ; 119
Notas de matemática ; 106
North-Holland mathematics studies ; 119.
Notas de matemática (Rio de Janeiro, Brazil) ; no. 106.
General Note:
Includes indexes.
Contents:
Front Cover; Transform Analysis of Generalized Functions; Copyright Page; Table of Contents; CHAPTER 0. PRELIMINARIES; CHAPTER 1. FINITE PARTS OF INTEGRALS; CHAPTER 2. BASE SPACES; CHAPTER 3. DEFINITION OF DISTRIBUTIONS; CHAPTER 4. PROPERTIES OF GENERALIZED FUNCTIONS AND DISTRIBUTIONS; CHAPTER 5. OPERATIONS ON GENERALIZED FUNCTIONS AND DISTRIBUTIONS; CHAPTER 6. OTHER OPERATIONS ON DISTRIBUTIONS; CHAPTER 7. THE FOURIER TRANSFORMATION; CHAPTER 8. THE LAPLACE TRANSFORMATION; CHAPTER 9. APPLICATIONS OF THE LAPLACE TRANSFORMATION; CHAPTER 10. THE STIELTJES TRANSFORMATION.
Abstract:
Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here. The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780444878854 ScienceDirect http://www.sciencedirect.com/science/publication?issn=03040208&volume=119Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA1 .N86 NO. 106 | 1190916-1001 | Elsevier E-Book Collections | Searching... |
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