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Admissible wavelets on the Siegel domain of type one

✍ Scribed by Qingtang Jiang; Lizhong Peng


Book ID
105640244
Publisher
SP Science China Press
Year
1998
Tongue
English
Weight
635 KB
Volume
41
Category
Article
ISSN
1674-7283

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Let P s NAM be the minimal parabolic subgroup of SU n q 1, 1 , which can be regarded as the affine automorphism group of the Siegel upper half-plane U nq 1 , P also acts on the Heisenberg group H n , the boundary of U nq 1 . Therefore P has a 2 Ε½ n . 2 Ε½ n . natural representation U on L H . We deco

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We study the differential operators whose symbols are determinant type polynomials associated to homogeneous cones in connection with unitary representations of the split solvable Lie group acting simply transitively on a Siegel domain.