The convolution of functions and distributions

• Autorzy: Fisher B. , Zhenhai L. , Nicholas J.
• Języki publikacji: EN

Abstrakty

EN

The non-commutative convolution product f* g of two distributions f and g in D' is defined to be the limit of the sequence {(/frn) * g}, provided the limit exists, where {r-n} is a certain sequence of functions rn in 'D converging to 1.

Słowa kluczowe

EN

Dirac delta function; convolution product

PL

funkcja delta; delta Diraca

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 835--841
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Fisher B.

• Institute of Simulation Sciences, Serc, Hawthorn Building De Montfort University, Leicester, Lei 9BH, England
• Department of Mathematics and Computer Science, The University of Leicester, Leicester, Lei 7RH, England

autor

Zhenhai L.

• Department of Mathematics and Computers, Changsha University of Electric Power, Changsha, Hunan, 410077, P.R. China

autor

Nicholas J.

• Department of Mathematics and Computer Science, The University of Leicester, Leicester, Lei 7RH, England