Results on Balanced Products of Distributions in Colombeau Algebra | Zendy

Blagovest Damyanov | Zendy

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Results on Balanced Products of Distributions in Colombeau Algebra

Author(s) -

Blagovest Damyanov

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1095

Subject(s) - mathematics , algebra over a field , pure mathematics

Results on singular products of Schwartz distributions on the Euclidean space Rm are derived when the products are so ’balanced’ that they exist in the distribution space. The results follow the idea of a known distributional product introduced by Jan Mikusiński and are obtained in the Colombeau algebra of generalized functions. This algebra contains the distributions and the notion of ’association’ permits obtaining results on the level of distributions. AMS Subject Classification: 46F30, 46F10

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