Methods of the Theory of Generalized Functions

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A01=V. S. Vladimirov
abelian theorems
Acute Cone
advanced generalised function methods
Author_V. S. Vladimirov
Auxiliary Function
bilinear
Category=PBK
Category=PBW
Cauchy Kernel
compact
Compact Support
Continuous Linear Functional
Continuous Positive Definite Function
convex
Convolution Algebra
convolution equations
distribution theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
form
functional analysis
Generalized Function
heaviside
Heaviside Unit Function
Holomorphic Functions
hull
K2 M2
Laplace Transform
mathematical physics applications
Mellin Transform
operational calculus
Periodic Generalized Functions
point
Poisson Kernel
Poisson Transform
Real Positive Definite Matrix
Schwartz Kernel
sesquilinear
support
Tauberian Theorem
Tempered Generalized Functions
Tubular Domain
unit

Product details

  • ISBN 9780415273565
  • Weight: 725g
  • Dimensions: 178 x 254mm
  • Publication Date: 15 Aug 2002
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.
Vladimirov, V. S.

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