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010   $a3-319-22075-6
024 7 $a10.1007/978-3-319-22075-8
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035   $a(EBL)4178456
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035   $a(PQKBTitleCode)TC0001585124
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035   $a(DE-He213)978-3-319-22075-8
035   $a(MiAaPQ)EBC4178456
035   $a(PPN)190527161
035   $a(EXLCZ)993710000000476909
100   $a20150915d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFrom Fourier Analysis to Wavelets /$fby Jonas Gomes, Luiz Velho
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (216 p.)
225 1 $aIMPA Monographs ;$v3
300   $aDescription based upon print version of record.
311   $a3-319-22074-8 
320   $aIncludes bibliographical references.
327   $aIntroduction -- Function Representation and Reconstruction -- The Fourier Transform -- Windowed Fourier Transform -- The Wavelet Transform -- Multiresolution Representation -- The Fast Wavelet Transform -- Filter Banks and Multiresolution -- Constructing Wavelets -- Wavelet Design -- Orthogonal Wavelets -- Biorthogonal Wavelets -- Directions and Guidelines -- Appendices.
330   $aThis text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints.  Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform.  The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets.  Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis.  Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.
410  0$aIMPA Monographs ;$v3
606   $aFourier analysis
606   $aHarmonic analysis
606   $aSignal processing
606   $aImage processing
606   $aSpeech processing systems
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051
615  0$aFourier analysis.
615  0$aHarmonic analysis.
615  0$aSignal processing.
615  0$aImage processing.
615  0$aSpeech processing systems.
615 14$aFourier Analysis.
615 24$aAbstract Harmonic Analysis.
615 24$aSignal, Image and Speech Processing.
676   $a510
700   $aGomes$b Jonas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755637
702   $aVelho$b Luiz$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300249703321
996   $aFrom Fourier Analysis to Wavelets$92494804
997   $aUNINA