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Projectors separating spectra for $L^2$ on symmetric spaces $GL(n,\C)/GL(n,\R)$

Representation Theory 2017-04-04 v1 Functional Analysis

Abstract

The Plancherel decomposition of L2L^2 on a pseudo-Riemannian symmetric space GL(n,C)/GL(n,R)GL(n,C)/GL(n,R) has spectrum of [n/2][n/2] types. We write explicitly orthogonal projectors separating spectrum into uniform pieces

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Cite

@article{arxiv.1704.00049,
  title  = {Projectors separating spectra for $L^2$ on symmetric spaces $GL(n,\C)/GL(n,\R)$},
  author = {Yury A. Neretin},
  journal= {arXiv preprint arXiv:1704.00049},
  year   = {2017}
}

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