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A new class of Gelfand pairs (1994)

Bosman, E. P. H. ; Dijk, G.

Springer

Geometriae dedicata 50 (1994), S. 261-282

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ISSN: 1572-9168

Keywords: 22E35

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The well-known result for rank 1 real symmetric spacesX=G/H, stating the multiplicity-free decomposition of the natural action ofG onL 2(X), is extended to the classical rank 1p-adic symmetric spaces. The absence of ap-adic analogue of the Laplace-Beltrami operator causes additional complications and necessitates a global study of the invariant distributions on the quotient space.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01267869

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