Skip to main content
SpringerLink
Log in

Difference Fourier transforms for nonreduced root systems

  • Original paper
  • Published:
Selecta Mathematica Aims and scope Submit manuscript

Abstract

In the first part of the paper kernels are constructed which meromorphically extend the Macdonald-Koornwinder polynomials in their degrees. In the second part the kernels associated with rank one root systems are used to define nonsymmetric variants of the spherical Fourier transform on the quantum SU(1,1) group. Related Plancherel and inversion formulas are derived using double affine Hecke algebra techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. KdV Institute for Mathematics, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    Jasper V. Stokman

Authors
  1. Jasper V. Stokman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jasper V. Stokman.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stokman, J.V. Difference Fourier transforms for nonreduced root systems . Sel. math., New ser. 9, 409–494 (2003). https://doi.org/10.1007/s00029-003-0331-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00029-003-0331-9

Mathematics Subject Classification (2000).

Key words.

Search

Navigation