Methods of the Theory of Generalized Functions

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CRC Press, 21 apr 2014 - 328 pagine
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.
 

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Indice

Symbols and Definitions
1
CHAPTER 1 Generalized Functions and their Properties
5
Chapter 2 Integral Transformations of Generalized Fuaetioas
89
Cbapter3 Some Applications in Mathematical Physics
191

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