On Products of Distributions in Colombeau Algebra

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Former Yugoslav Republic of Macedonia English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,014 (issn: 1024-123X, eissn: 1563-5147,

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Authors: Miteva, Marija; Jolevska-Tuneska, Biljana; Atanasova-Pacemska, Tatjana;

doi: 10.1155/2014/910510

On Products of Distributions in Colombeau Algebra

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Abstract

Results on products of distributions and δ(p)(x) are derived. They are obtained in Colombeau differential algebra 𝒢(R) of generalized functions that contains the space 𝒟′(R) of Schwartz distributions as a subspace. Products of this form are useful in quantum renormalization theory in Physics.

Country

Former Yugoslav Republic of Macedonia

Related Organizations

Goce Delcev University
Former Yugoslav Republic of Macedonia
Saints Cyril and Methodius University of Skopje
Former Yugoslav Republic of Macedonia

Keywords

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Matematics, Operations with distributions and generalized functions

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