00736nam a2200217 i 450099100026091970753620020506124218.0990324s1911 it ||| | ita b10676235-39ule_instEXGIL142550ExLBiblioteca InterfacoltàitaCarducci, Giosué439461Su l'Orlando furiosoBologna :Zanichelli,191183 p..b1067623502-04-1428-06-02991000260919707536LE002 Fondo Giudici M 3281LE002G-328le002-E0.00-no 00000.i1076947x28-06-02Su l'Orlando furioso910340UNISALENTOle00201-01-99ma -itait 0103337nam 22005295 450 991030012980332120200701101513.03-319-99175-210.1007/978-3-319-99175-7(CKB)4100000007003160(MiAaPQ)EBC5553266(DE-He213)978-3-319-99175-7(PPN)231461623(EXLCZ)99410000000700316020181011d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGeneralized Multiresolution Analyses /by Kathy D. Merrill1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (121 pages)Lecture Notes in Applied and Numerical Harmonic Analysis,2512-64823-319-99174-4 Introduction -- The Invariance of the Core Subspace -- The Multiplicity Function -- Wavelet Sets -- Generalized Filters -- Fractal Spaces -- Composite Dilations and Crystallographic Groups -- Abstract Constructions of GMRAs.This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the author’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting. Beginning with the basic properties of GMRAs, the book goes on to explore the multiplicity and dimension functions of GMRA, wavelet sets, and generalized filters. The author’s constructions of wavelet sets feature prominently, with figures to illustrate their remarkably simple geometric form. The last three chapters exhibit extensions of wavelet theory and GMRAs to other settings. These include fractal spaces, wavelets with composite dilations, and abstract constructions of GMRAs beyond the usual setting of L2(ℝn). This account of recent developments in wavelet theory will appeal to researchers and graduate students with an interest in multiscale analysis from a pure or applied perspective. Familiarity with harmonic analysis and operator theory will be helpful to the reader, though the only prerequisite is graduate level experience with real and functional analysis.Lecture Notes in Applied and Numerical Harmonic Analysis,2512-6482Harmonic analysisFunctional analysisMeasure theoryAbstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Measure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Harmonic analysis.Functional analysis.Measure theory.Abstract Harmonic Analysis.Functional Analysis.Measure and Integration.515Merrill Kathy Dauthttp://id.loc.gov/vocabulary/relators/aut768256BOOK9910300129803321Generalized Multiresolution Analyses1564746UNINA