On the non-commutative neutrix product of the distributions x +-r Inp x+ and x+ u Inq x+

Fisher B., TAŞ K.

Integral Transforms and Special Functions, vol.17, no.7, pp.513-519, 2006 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 7
  • Publication Date: 2006
  • Doi Number: 10.1080/10652460600725283
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.513-519
  • Keywords: Delta-function, Distribution, Product of distributions
  • Uşak University Affiliated: No

Abstract

Let f and g be distributions and g n = ( g*δ n )( x ), where δ n ( x ) is a certain sequence converging to the Dirac delta-function. The non-commutative neutrix product f ° g of f and g is defined to be the neutrix limit of the sequence { fg n }, provided its limit h exists in the sense that for all functions in . It is proved that for.