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Frames and bases : an introductory course

Author: Ole Christensen
Publisher: Boston : Birkhäuser, ©2008.
Series: Applied and numerical harmonic analysis.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical sufficient conditions for obtaining a frame. Consequently, there is a need for an updated book on frames, which moves  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ole Christensen
ISBN: 9780817646776 0817646779 9780817646783 0817646787
OCLC Number: 156813085
Description: xviii, 313 pages ; 24 cm.
Contents: Frames in finite-dimensional inner product spaces --
Infinite-dimensional vector spaces and sequences --
Bases --
Bases and their limitations --
Frames in Hilbert spaces --
B-splines --
Frames of translates --
Shift-invariant systems --
Gabor frames in L² (Rieman integral) --
Global frames in l² (Z) --
Wavelet frames in L² (Rieman integral).
Series Title: Applied and numerical harmonic analysis.
Responsibility: Ole Christensen.

Abstract:

Based on a streamlined presentation of the author's successful work, An Introduction to Frames and Riesz Bases, this new textbook develops frame theory as part of a dialogue between mathematicians  Read more...

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From the reviews:"The author's aim is to present the central ideas of frame and basis theory. ... the book is aimed toward graduate students in mathematics, pure and applied mathematicians, and Read more...

 
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