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Toeplitz Quantization and Asymptotic Expansions: Peter–Weyl Decomposition

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Abstract

We obtain the Peter–Weyl decomposition of the star product and star restriction associated to the Toeplitz calculus on complex and real symmetric domains, respectively, under the action of the maximal compact subgroup. Both the Berezin and the Berezin–Toeplitz cases are covered.

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Authors and Affiliations

  1. Mathematics Institute, Žitná 25, 11567, Prague 1, Czech Republic

    Miroslav Engliš

  2. Mathematics Institute, Silesian University in Opava, Na Rybníčku 1, 74601, Opava, Czech Republic

    Miroslav Engliš

  3. Fachbereich Mathematik, Universität Marburg, 35032, Marburg, Germany

    Harald Upmeier

Authors
  1. Miroslav Engliš
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  2. Harald Upmeier
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Correspondence to Harald Upmeier.

Additional information

Research supported by GA ČR Grant no. 201/09/0473 and AV ČR institutional research plan AV0Z10190503.

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Engliš, M., Upmeier, H. Toeplitz Quantization and Asymptotic Expansions: Peter–Weyl Decomposition. Integr. Equ. Oper. Theory 68, 427–449 (2010). https://doi.org/10.1007/s00020-010-1808-5

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  • DOI: https://doi.org/10.1007/s00020-010-1808-5

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