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About: Bases and frames

Module by: Marco F. Duarte, Mark A. Davenport. E-mail the authors

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Metadata

Name: Bases and frames
ID: m37165
Language: English (en)
Summary: This module provides an overview of bases and frames in finite-dimensional Hilbert spaces.
Subject: Mathematics and Statistics
Keywords: Analysis, Atoms, Basis, Dictionary, Dual frame, Frame, Hilbert space, Orthonormal basis, Parseval frame, Synthesis, Tight frame
License: Creative Commons Attribution License CC-BY 3.0

Authors: Marco F. Duarte (mduarte@ecs.umass.edu), Mark A. Davenport (markad@stanford.edu)
Copyright Holders: Marco F. Duarte (mduarte@ecs.umass.edu), Mark A. Davenport (markad@stanford.edu)
Maintainers: Mark A. Davenport (markad@stanford.edu), Jared Adler (jca2@rice.edu), Daniel Williamson (dcwill@cnx.org)

Latest version: 1.6 (history)
First publication date: Mar 8, 2011 10:30 am +0000
Last revision to module: Sep 23, 2011 7:44 pm +0000

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XML: m37165_1.6.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.6 Sep 23, 2011 7:44 pm +0000 by Mark A. Davenport
Changes:
Fix typo.

Version: 1.5 Apr 14, 2011 12:24 pm +0000 by Mark A. Davenport
Changes:
Fixed typos and added link.

Version: 1.4 Apr 10, 2011 12:06 am +0000 by Jared Adler
Changes:
image fixes

Version: 1.3 Mar 25, 2011 9:57 am +0000 by Jared Adler
Changes:
google analytics

Version: 1.2 Mar 11, 2011 7:38 pm +0000 by Mark A. Davenport
Changes:
Added links.

Version: 1.1 Mar 10, 2011 6:21 pm +0000 by Mark A. Davenport
Changes:
Initial publish.

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  • the authors' names: Marco Duarte, Mark Davenport
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The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Duarte, M.; Davenport, M. Bases and frames, OpenStax-CNX Web site. http://cnx.org/content/m37165/1.6/, Sep 23, 2011.

American Medical Assocation (AMA) Manual of Style:

Duarte M, Davenport M. Bases and frames [OpenStax-CNX Web site]. September 23, 2011. Available at: http://cnx.org/content/m37165/1.6/.

American Psychological Assocation (APA) Publication Manual:

Duarte, M., & Davenport, M. (2011, September 23). Bases and frames. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m37165/1.6/

Chicago Manual of Style (Bibliography):

Duarte, Marco, and Mark Davenport. "Bases and frames." OpenStax-CNX. September 23, 2011. http://cnx.org/content/m37165/1.6/.

Chicago Manual of Style (Note):

Marco Duarte and Mark Davenport, "Bases and frames," OpenStax-CNX, September 23, 2011, http://cnx.org/content/m37165/1.6/.

Chicago Manual of Style (Reference, in Author-Date style):

Duarte, M., & Davenport, M. 2011. Bases and frames. OpenStax-CNX, September 23, 2011. http://cnx.org/content/m37165/1.6/.

Modern Languages Association (MLA) Style Manual:

Duarte, Marco, and Mark Davenport. Bases and frames. OpenStax-CNX. 23 Sep. 2011 <http://cnx.org/content/m37165/1.6/>.