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Harmonic Analysis on Reductive Groups pp 181–191Cite as

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A Remark on the Dunkl Differential—Difference Operators

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Part of the book series: Progress in Mathematics ((PM,volume 101))

Abstract

Let E be a Euclidean vector space of dimension n with inner product (·,·). For each α ∈ E with (α, α) = 2 we write

$$ {r_{\alpha }}(\lambda ) = \lambda - (\alpha, \lambda )\alpha, \lambda \in E $$
((1.1))

for the orthogonal reflection in the hyperplane perpendicular to α.

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Author information

Authors and Affiliations

  1. Mathematisch Instituut, University of Nijmegen, Toernooiveld, 6525, ED, Nijmegen, The Netherlands

    Gerrit J. Heckman

Authors
  1. Gerrit J. Heckman
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Bowdoin College, Brunswick, ME, 04011, USA

    William H. Barker

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Paul J. Sally Jr.

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© 1991 Springer Science+Business Media New York

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Heckman, G.J. (1991). A Remark on the Dunkl Differential—Difference Operators. In: Barker, W.H., Sally, P.J. (eds) Harmonic Analysis on Reductive Groups. Progress in Mathematics, vol 101. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0455-8_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0455-8_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6768-3

  • Online ISBN: 978-1-4612-0455-8

  • eBook Packages: Springer Book Archive

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