The Spherical Transform of a Schwartz Fu
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Chal Benson; Joe Jenkins; Gail Ratcliff
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Article
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1998
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Elsevier Science
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English
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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