Transform analysis of generalized functions / O.P. Misra and J.L. Lavoine.

By:

Misra, O. P

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Series: North-Holland mathematics studies ; 119. | Notas de matemática (Rio de Janeiro, Brazil) ; no. 106.1986Description: 1 online resource (xiv, 332 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780444878854
0444878858
9780080872308
0080872301
1281788422
9781281788429

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Genre/Form:

Electronic books.

Additional physical formats: Print version:: Transform analysis of generalized functions.LOC classification:

QA1 .N86 no. 106 QA324eb

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Click here to access online

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.

Summary: 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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eBooks

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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.

Includes bibliographical references (pages 315-327).

Includes indexes.

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