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About: Bases and frames

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

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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 (, Mark A. Davenport (
Copyright Holders: Marco F. Duarte (, Mark A. Davenport (
Maintainers: Mark A. Davenport (, Jared Adler (, Daniel Williamson (

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


PDF: m37165_1.6.pdf PDF file, for viewing content offline and printing. Learn more.
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
Fix typo.

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

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

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

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

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

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Duarte, Marco, and Mark Davenport. "Bases and frames." OpenStax-CNX. September 23, 2011.

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