Spherical Functions for the Semisimple Symmetric Pair (Sp(2, ℝ), SL(2, ℂ))
2002 ◽
Vol 54
(4)
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pp. 828-865
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Keyword(s):
AbstractLet π be an irreducible generalized principal series representation of G = Sp(2, ℝ) induced from its Jacobi parabolic subgroup. We show that the space of algebraic intertwining operators from π to the representation induced from an irreducible admissible representation of SL(2, ℂ) in G is at most one dimensional. Spherical functions in the title are the images of K-finite vectors by this intertwining operator. We obtain an integral expression of Mellin-Barnes type for the radial part of our spherical function.
2007 ◽
Vol 43
(2)
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pp. 521-524
1995 ◽
Vol 71
(7)
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pp. 154-157
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1980 ◽
Vol 8
(6)
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pp. 543-583
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Keyword(s):
2009 ◽
Vol 61
(2)
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pp. 395-426
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2015 ◽
Vol 16
(3)
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pp. 609-671
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2018 ◽
Vol 2020
(24)
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pp. 9988-10004
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2009 ◽
Vol 20
(08)
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pp. 1011-1027
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