Results on singular distribution products of Mikusiński type

• Autorzy: Damyanov B. P.
• Języki publikacji: EN

Abstrakty

EN

Results on products of Schwartz distributions are obtained when they have coinciding point singularities and only sums of the products exist in the distribution space. These results follow the pattern of a well-know distributional product published by Jan Mikusiński in 1966, and are named Mikusiński type products. The formulas are derived as the distributions are embedded in Colombeau algebra of generalized functions. This algebra possesses optimal properties regarding the distributional multiplication, and its notion of "association" allows one to obtain the results in terms of distributions.

Słowa kluczowe

EN

distributions; products of Makusiński type; Colombeau algebra

PL

rozkład; produkty typu Makusiński; algebra Colombeau

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 1
• Strony: 49--61
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Damyanov B. P.

• Bulgarian Academy of Sciences INRNE - Theory Group 72 Tzarigradsko Shosse 1784 Sofia, Bulgaria,

Bibliografia

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