CONNECTION BETWEEN THE HARMONIC-ANALYSIS ON THE SPHERE AND THE HARMONIC-ANALYSIS ON THE ONE-SHEETED HYPERBOLOID - AN ANALYTIC CONTINUATION VIEWPOINT .2.

Authors
BROS J VIANO GA
Citation
J. Bros et Ga. Viano, CONNECTION BETWEEN THE HARMONIC-ANALYSIS ON THE SPHERE AND THE HARMONIC-ANALYSIS ON THE ONE-SHEETED HYPERBOLOID - AN ANALYTIC CONTINUATION VIEWPOINT .2., Forum mathematicum, 8(6), 1996, pp. 659-722
Citations number
31
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
8
Issue
6
Year of publication
1996
Pages
659 - 722
Database
ISI
SICI code
0933-7741(1996)8:6<659:CBTHOT>2.0.ZU;2-J
Abstract
We study the action of Radon-type integral transformations on the one- sheeted hyperboloid X(d-1) and on the associated complex quadric X(d-1 )((c)). Classes of invariant Volterra kernels and perikernels with mod erate growth are transformed into subspaces of holomorphic functions w hose Fourier-Laplace analysis has been treated in Part I.