On Products of Distributions in Colombeau Algebra-Reference-Cited by-同舟云学术

On Products of Distributions in Colombeau Algebra

Published:2014 Issue: Volume:2014 Page:1-4
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Miteva Marija¹,Jolevska-Tuneska Biljana²,Atanasova-Pacemska Tatjana¹

Affiliation:

1. Faculty of Computer Sciences, University of Goce Delcev, Krste Misirkov Street br 10A, 2000 Stip, Macedonia

2. Faculty of Electrical Engineering and Informational Technologies, University Ss. Cyril and Methodius in Skopje, Karpos II bb, 1000 Skopje, Macedonia

Abstract

Results on products of distributionsx+-kandδ(p)(x)are derived. They are obtained in Colombeau differential algebra𝒢(R)of generalized functions that contains the space𝒟'(R)of Schwartz distributions as a subspace. Products of this form are useful in quantum renormalization theory in Physics.

Funder

Goce Delčev University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2014/910510.pdf

Reference15 articles.

1. Neue Begründung der Theorie der „Distributionen” von L. Schwartz

2. THE PRODUCT OF DISTRIBUTIONS

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