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Anders Dahlner

Researcher

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A Wiener Tauberian Theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc

Author

  • Anders Dahlner

Summary, in English

Our main result gives necessary and sufficient conditions, in terms of Fourier transforms, for an ideal in the algebra L-1(G parallel to K, omega), the convolution algebra of zonal functions on the automorphism group on the unit disc which are integrable with respect to the weight; function omega, to be dense in the algebra, or to have as closure an ideal of functions whose set of common zeros of the Fourier transforms is a finite set on the boundary of the maximal ideal space of the algebra. The weights considered behave like Legendre functions of the first kind.

Department/s

  • Mathematics (Faculty of Sciences)

Publishing year

2006

Language

English

Pages

67-102

Publication/Series

Bergman Spaces and Related Topics in Complex Analysis, Proceedings

Volume

404

Document type

Conference paper

Publisher

American Mathematical Society (AMS)

Topic

  • Mathematics

Keywords

  • transform
  • resolvent
  • Wiener Tauberian Theorem
  • estimates of Legendre functions

Conference name

Conference on Bergman Spaces and Related Topics in Complex Analysis

Conference date

2003-11-20 - 2003-11-22

Conference place

Barcelona, Spain

Status

Published

ISBN/ISSN/Other

  • ISSN: 1098-3627
  • ISSN: 0271-4132