CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group
Autor/es:
FERNANDO LEVSTEIN; LINDA SAAL
Revista:
CONTEMPORARY MATHEMATICS
Editorial:
American Math. Society
Referencias:
Lugar: Providence; Año: 2011 vol. 537 p. 241 - 253
ISSN:
0271-4132
Resumen:
In this work we find a family of generalized Gelfand pairs (G,K), where G = KxH_n, H_n is the Heisenberg group 2n+1-dimensional, and K = SO(n)xR>0 acts on H_n by automorphisms. We consider the cases n = 1, 2 and determine a set of generators of the algebra of left G-invariant and right K-invariant differential operators on G. Finally we describe the corresponding spherical distributions.
