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, cilt.17, sa.7, ss.513-519, 2006 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 7
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/10652460600725283
  • Dergi Adı: Integral Transforms and Special Functions
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.513-519
  • Anahtar Kelimeler: Delta-function, Distribution, Product of distributions
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.