✦ LIBER ✦

Regularizing the method of reconstructing a function on the basis of its spherical radon transform

✍ Scribed by O. V. Shestakov

Book ID: 119990357
Publisher: Allerton Press, Inc.
Year: 2012
Tongue: English
Weight: 141 KB
Volume: 36
Category: Article
ISSN: 0278-6419
DOI: 10.3103/s0278641912010098

No coin nor oath required. For personal study only.

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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