Methods of the Theory of Generalized Functions
1st Edition
Published on 15. August 2002
328 pages
978-1-4822-8816-2 (ISBN)
Description
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 variab
More details
Series
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
ISBN-13
978-1-4822-8816-2 (9781482288162)
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Other editions
Additional editions
V. S. Vladimirov
Methods of the Theory of Generalized Functions
Book
10/2019
1st Edition
CRC Press
€93.60
Shipment within 15-20 days
V. S. Vladimirov
Methods of the Theory of Generalized Functions
Book
08/2002
1st Edition
CRC Press
€259.80
Shipment within 15-20 days
Content
Generalized Functions and Their Properties. Test and Generalized Functions. Differentiation of Generalized Functions. Direct Product of Generalized Functions. The Convolution of Generalized Functions. Tempered Generalized Functions. Integral Transformations of Generalized Functions. The Fourier Transform of Tempered Generalized Functions. Fourier Series of Periodic Generalized Functions. Positive Definite Generalized Functions. The Laplace Transform of Tempered Generalized Functions. The Cauchy Kernel and the Transforms of Cauchy-Bochner and Hilbert. Poisson Kernel and Poisson Transform. Algebras of Holomorphic Functions. Equations in Convolution Algebras. Tauberian Theorems for Generalized Functions. Some Applications in Mathematical Physics. Differential Operators with Constant Coefficients. The Cauchy Problem. Holomorphic Functions with Nonnegative Imaginary Part in T^Oc. Holomorphic Functions with Nonnegative Imaginary Part in T^On. Positive Real Matrix Functions in T^Oc. Linear Passive Systems. Abstract Scattering Operator.
