Authors
Citation
M. Ocarroll, LATTICE AND CONTINUUM WAVELETS AND THE BLOCK RENORMALIZATION-GROUP, Journal of statistical physics, 71(3-4), 1993, pp. 415-423
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
ISSN journal
00224715
Volume
71
Issue
3-4
Year of publication
1993
Pages
415 - 423
Database
ISI
SICI code
0022-4715(1993)71:3-4<415:LACWAT>2.0.ZU;2-N
Abstract
We obtain a resolution of the identity operator, for functions on a la
ttice epsilonZ(d), which is derived from the block renormalization gro
up. we use eigenfunctions of the terms of the decomposition to form a
basis for l2(epsilonZ(d)) and show how the basis is generated from lat
tice wavelets. The lattice spacing epsilon is taken to zero and contin
uum wavelets are obtained.