Frames, bases and group representations

Authors
Han, DG Larson, DR
Citation
Dg. Han et Dr. Larson, Frames, bases and group representations, MEM AM MATH, 147(697), 2000, pp. NIL_5
Citations number
26
Categorie Soggetti
Mathematics
Journal title
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00659266 → ACNP
Volume
147
Issue
697
Year of publication
2000
Database
ISI
SICI code
0065-9266(200009)147:697<NIL_5:FBAGR>2.0.ZU;2-D
Abstract
We develop an operator-theoretic approach to discrete frame theory on a sep arable Hilbert space. We then apply this to an investigation of the structu ral properties of systems of unitary operators on Hilbert space which are r elated to orthonormal wavelet theory. We also obtain applications of frame theory to group representations, and of the theory of abstract unitary syst ems to frames generated by Gabor type systems.