Multiplication of Distributions in One Dimension: Possible Approaches and Applications to δ-Function and Its Derivatives

Fabio Bagarello

Multiplication of Distributions in One Dimension: Possible Approaches and Applications to δ-Function and Its Derivatives

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Abstract

We introduce a new class of multiplications of distributions in one dimension merging two different regularizations of distributions. Some of the features of these multiplications are discussed in detail. We use our theory to study a number of examples, involving products between Dirac delta functions and its successive derivatives. © 1995 Academic Press. All rights reserved.

Lingua originale	English
pagine (da-a)	885-901
Numero di pagine	17
Rivista	Journal of Mathematical Analysis and Applications
Volume	196
Stato di pubblicazione	Published - 1995

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All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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Bagarello, F. (1995). Multiplication of Distributions in One Dimension: Possible Approaches and Applications to δ-Function and Its Derivatives. Journal of Mathematical Analysis and Applications, 196, 885-901.

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