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Some Properties of Quasiconvex Functions on the Heisenberg Group

✍ Scribed by Ming-bao Sun; Xiao-ping Yang

Publisher: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2005
Tongue: English
Weight: 164 KB
Volume: 21
Category: Article
ISSN: 0168-9673
DOI: 10.1007/s10255-005-0266-3

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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