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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

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The Spherical Transform of a Schwartz Fu
✍ Chal Benson; Joe Jenkins; Gail Ratcliff 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 513 KB

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