01075nam a2200277 i 450099100115026970753620020507184156.0970710s1967 de ||| | ger b10807767-39ule_instLE01307825ExLDip.to Matematicaeng511.322AMS 03EJensen, Ronald Bjorn349712Modelle der Mengenlehre :widerspruchsfreiheit und Unabhangigkeit der Kontinuum-Hypothese und des Auswahlaxioms /Ronald Bjorn Jensen ; ausgearbeitet von Franz Josef LevenBerlin :Springer-Verlag,1967176 p. ;26 cmLecture notes in mathematics,0075-8434 ;37Set theoryLeven, Franz Joseph.b1080776719-07-1928-06-02991001150269707536LE013 03E JEN11 (1967)12013000089256le013-E0.00-l- 00000.i1091278228-06-02Modelle der Mengenlehre355185UNISALENTOle01301-01-97ma -gerde 0103699nam 22006735 450 991025430370332120251202141939.03-319-59433-810.1007/978-3-319-59433-0(CKB)4100000000586882(DE-He213)978-3-319-59433-0(MiAaPQ)EBC6315693(MiAaPQ)EBC5589112(Au-PeEL)EBL5589112(OCoLC)1066185767(PPN)204535174(EXLCZ)99410000000058688220170904d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierLecture Notes on Wavelet Transforms /by Lokenath Debnath, Firdous A. Shah1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (XII, 220 p. 32 illus., 3 illus. in color.) Compact Textbooks in Mathematics,2296-455X3-319-59432-X Includes bibliographical references and index.The Fourier Transform -- The Time-Frequency Analysis -- The Wavelet Transforms -- Construction of Wavelets via MRA -- Elongations of MRA Based Wavelets. .This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets. The selection, arrangement,and presentation of the material in these lecture notes have carefully been made based on the authors’ teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India. .Compact Textbooks in Mathematics,2296-455XHarmonic analysisFunctional analysisFourier analysisSignal processingAbstract Harmonic AnalysisFunctional AnalysisFourier AnalysisSignal, Speech and Image ProcessingHarmonic analysis.Functional analysis.Fourier analysis.Signal processing.Abstract Harmonic Analysis.Functional Analysis.Fourier Analysis.Signal, Speech and Image Processing.515.2433Debnath Lokenathauthttp://id.loc.gov/vocabulary/relators/aut42473Shah Firdous Aauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254303703321Lecture Notes on Wavelet Transforms1984163UNINA