CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Harmonic analysis on some generalized Gelfand pairs attached to Heisenberg groups
Autor/es:
SAAL, LINDA; LEVSTEIN, FERNANDO
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Año: 2018 vol. 241 p. 135 - 158
ISSN:
0039-3223
Resumen:
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1,R) and ((R_{>0} ×SO(n))xH_n, R_?>0? ×SO(n)) for n ≥ 2.We describe the spherical distributions corresponding to these pairs and we obtain inversionformulæ in terms of them for the spaces of Schwartz functions on R^{2n}and H_n. We use theTengstrand transform to compute the spherical distributions for n = 1 explicitly.
