• Title of article

    Hankel convolution operators on entire functions and distributions ✩

  • Author/Authors

    Olivier Bourget، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2002
  • Pages
    24
  • From page
    40
  • To page
    63
  • Abstract
    In this paper we study the Hankel convolution operators on the space of even and entire functions and on Schwartz distribution spaces. We characterize the Hankel convolution operators as those ones that commute with Hankel translations and with a Bessel operator. Also we prove that the Hankel convolution operators are hypercyclic and chaotic on the spaces under consideration.  2002 Elsevier Science (USA). All rights reserved.
  • Keywords
    Schwartz distributions , Hankel transformation , convolution , Cyclic and chaotic operators
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2002
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    930290