Linear Theory of Colombeau Generalized Functions

Linear Theory of Colombeau Generalized Functions
Author: M Nedeljkov
Publisher: CRC Press
Total Pages: 172
Release: 1998-05-20
Genre: Mathematics
ISBN: 9780582356832
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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.


Linear Theory of Colombeau Generalized Functions
Language: en
Pages: 172

Linear Theory of Colombeau Generalized Functions

Authors: M Nedeljkov
Categories: Mathematics
Type: BOOK - Published: 1998-05-20 - Publisher: CRC Press

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Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions.
New Generalized Functions and Multiplication of Distributions
Language: en
Pages: 389

New Generalized Functions and Multiplication of Distributions

Authors: J.F. Colombeau
Categories: Science
Type: BOOK - Published: 2000-04-01 - Publisher: Elsevier

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This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any prod
Elementary Introduction to New Generalized Functions
Language: en
Pages: 297

Elementary Introduction to New Generalized Functions

Authors: J.F. Colombeau
Categories: Mathematics
Type: BOOK - Published: 2011-08-18 - Publisher: Elsevier

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The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order
Multiplication of Distributions
Language: en
Pages: 193

Multiplication of Distributions

Authors: Jean F. Colombeau
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

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This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of sy
C-O-R Generalized Functions, Current Algebras, and Control
Language: en
Pages: 205

C-O-R Generalized Functions, Current Algebras, and Control

Authors: Robert Hermann
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: Math Science Press

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