Transform analysis of generalized functions /

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 account...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Misra, O. P.
Other Authors: Lavoine, J. L. (Jean L.)
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986.
Series:North-Holland mathematics studies ; 119.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 106.
Subjects:
Theory of distributions (Functional analysis)
Transformations (Mathematics)
Th�eorie des distributions (Analyse fonctionnelle)
Transformations (Math�ematiques)
MATHEMATICS > Functional Analysis.
Mathematics > Generalised functions
Online Access:Texto completo
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Table of 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.

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