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Fourier transform of a Gaussian measure on the Heisenberg group

✍ Scribed by Mátyás Barczy; Gyula Pap

Book ID: 108052862
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 332 KB
Volume: 42
Category: Article
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2005.07.002

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Suppose that K/U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group H n . We say that (K, H n ) is a Gelfand pair if the convolution algebra L 1 K (H n ) of integrable K-invariant functions on H n is commutative. In this case, the Gelfand space 2(K, H n ) is equipped with th