Linear Theory of Colombeau Generalized Functions: 1st Edition (Hardback) book cover

Linear Theory of Colombeau Generalized Functions

1st Edition

By M Nedeljkov, S Pilipovic, D Scarpalezos

Chapman and Hall/CRC

168 pages

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Hardback: 9780582356832
pub: 1998-05-20
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Description

Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

Table of Contents

Introduction

Basic Notions

Generalized Solutions to Linear Partial Differential Equations

Generalized Pseudodifferential Operators

Bibliography

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis