The Plancherel Theorem for invariant Hilbert spaces

Joachim Hilgert1, Bernhard Krötz2
1Mathematisches Institut, Technische Universität Clausthal, Erzstrasse 1, 38678 Clausthal-Zellerfeld, Germany; (e-mail: [email protected]) , , DE
2The Ohio State University, Department of Mathematics, 231 West 18th Avenue, Columbus, OH 43210-1174, USA , , US

Tóm tắt

We calculate explicitly the Plancherel measure for certain Hilbert spaces of holomorphic functions naturally associated to affine symmetric spaces with holomorphic discrete series.

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