Further results on the compositions of distributions


Fisher B., Jolevska-Tuneska B., Ozcag E.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.13, ss.109-116, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 2
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1080/10652460212897
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Sayfa Sayıları: ss.109-116

Özet

Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) (*) delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function delta(x). The distribution (\x\(r) (- 1/2))(-4s) is evaluated for r, s = 1,2....