Authors
Citation
Jr. Klauder et Rf. Streater, WAVELETS AND THE POINCARE HALF-PLANE, Journal of mathematical physics, 35(1), 1994, pp. 471-478
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
ISSN journal
00222488
Volume
35
Issue
1
Year of publication
1994
Pages
471 - 478
Database
ISI
SICI code
0022-2488(1994)35:1<471:WATPH>2.0.ZU;2-M
Abstract
A square-integrable signal of positive energy is transformed into an a
nalytic function in the upper half-plane, on which SL(2,R) acts. It is
shown that this analytic function is determined by its scalar product
s with the discrete family of functions obtained by acting with SL(2,Z
) on a cyclic vector, provided that the spin of the representation is
less than 3.