CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 8858 > Article
Open Access Paper
26 September 2013 Interplay in various settings between shift invariant spaces, wavelets, and sampling
Peter M. Luthy, Guido L. Weiss, Edward N. Wilson
Author Affiliations +
Proceedings Volume 8858, Wavelets and Sparsity XV; 885808 (2013) https://doi.org/10.1117/12.2028784
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States
Abstract
Shift invariant spaces are common in the study of analysis, appearing, for example, as cornerstones of the theories of wavelets and sampling. The interplay of these three notions is discussed at length over R, with the one-dimensional study providing motivation for later discussions of Rn, locally compact abelian groups, and some non-abelian groups. Two fundamental tools, the so-called bracket" as well as the Zak transform(s), are described, and their deep connections to the aforementioned areas of study are made explicit.
© (2013) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation Download Citation
Peter M. Luthy, Guido L. Weiss, and Edward N. Wilson "Interplay in various settings between shift invariant spaces, wavelets, and sampling", Proc. SPIE 8858, Wavelets and Sparsity XV, 885808 (26 September 2013); https://doi.org/10.1117/12.2028784
PROCEEDINGS
 9 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Wavelets
Fourier transforms
Radon
Transform theory
Convolution
Matrices
Space operations
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top