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A first course on wavelets

Author: Eugenio Hernández; Guido Weiss
Publisher: Boca Raton, Fla. : CRC Press, 1996.
Series: Studies in advanced mathematics.
Edition/Format:   Print book
Summary:

Offers an introduction to the basic properties of wavelets, from background math to powerful applications. This book provides elementary methods for constructing wavelets, and illustrates several  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Eugenio Hernández; Guido Weiss
ISBN: 0849382742 9780849382741
OCLC Number: 247293495
Description: [17], 489 Seiten : Illustrationen.
Contents: Bases for L2(R)PreliminariesOrthonormal Bases Generated by a Single Function: The Balian-Low TheoremSmooth Projections on L2(R)Local Sine and Cosine Bases and the Construction of Some WaveletsThe Unitary Folding Operators and the Smooth ProjectionsNotes and ReferencesMultiresolution Analysis and the Construction of WaveletsMultiresolution AnalysisConstruction of Wavelets from a Multiresolution AnalysisThe Construction of Compactly Supported WaveletsBetter Estimates for the Smoothness of Compactly Supported WaveletsNotes and ReferencesBand-Limited WaveletsOrthonormalityCompletenessThe Lemarie-Meyer Wavelets RevisitedCharacterization of Some Band-Limited WaveletsNotes and ReferencesOther Constructions of WaveletsFranklin Wavelets on the Real LineSpline Wavelets on the Real LineOrthonormal Bases of Piecewise Linear Continuous Functions for L2(T)Orthonormal Bases of Periodic SplinesPeriodization of Wavelets Defined on the Real LineNotes and ReferencesRepresentation of Functions by WaveletsBases for Banach SpacesUnconditional Bases for Banach SpacesConvergence of Wavelet Expansions in LP(R)Pointwise Convergence of Wavelets ExpansionsH1 and BMO on RWavelets as Unconditional Bases for H1(R) and LP(R) with 1
Series Title: Studies in advanced mathematics.
Responsibility: Eugenio Hernández ; Guido Weiss.
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