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Operational Calculus and Related Topics

Operational Calculus and Related Topics by A. P. Prudnikov
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INTEGRAL TRANSFORMS
Introduction to Operational Calculus
Integral Transforms — Introductory Remarks
The Fourier Transform
The Laplace Transform
The Mellin Transform
The Stieltjes Transform
The Hilbert Transform
Bessel Transforms
The Mehler–Fock Transform
Finite Integral Transforms
OPERATIONAL CALCULUS
Introduction
The Theorem of Titchmarsh
Operators
Bases of the Operator Analysis
Operators Reducible to Functions
Application of Operational Calculus
GENERALIZED FUNCTIONS
Introduction
Generalized  Functions — Functional Approach
Generalized Functions — Sequential Approach
Delta Sequences
Convergent Sequences
Local Properties
Irregular Operations
Hilbert Transform and Multiplication Forms
CRC Press; August 2006
420 pages; ISBN 9781420011494
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Title: Operational Calculus and Related Topics
Author: A. P. Prudnikov; K.A. Skórnik
 
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