05177nam 2200613 450 991047888530332120170828133251.01-4704-1106-7(CKB)3780000000000186(EBL)3113127(SSID)ssj0001048508(PQKBManifestationID)11703087(PQKBTitleCode)TC0001048508(PQKBWorkID)10998211(PQKB)10642141(MiAaPQ)EBC3113127(PPN)197102476(EXLCZ)99378000000000018620140612h20132013 uy 0engur|n|---|||||txtccrCommutative and noncommutative harmonic analysis and applications AMS Special Session in Memory of Daryl Geller on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, September 22-23, 2012, Rochester Institute of Technology, Rochester, NY /Azita Mayeli [and three others], editorProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (218 p.)Contemporary Mathematics,1098-3627 ;Volume 603Description based upon print version of record.0-8218-9493-5 Includes bibliographical references.""Preface""; ""Remembering Daryl Geller (1950 - 2011)""; ""Publications""; ""List of speakers""; ""List of participants""; ""Part I [.3cm] Noncommutative Harmonic Analysis""; ""Krein-Space Operators Induced by Dirichlet Characters""; ""1. Introduction""; ""2. Preliminaries""; ""3. Free Probabilistic Model of Induced by Primes""; ""4. Dirichlet Character Subsets of ""; ""5. Free Distributional Data of Dirichlet Characters""; ""6. Representations of the Arithmetic Algebra""; ""7. Krein-Space Operators Induced by Dirichlet Characters on \frak{ }_{ }""""8. Krein-Space Operator Induced by Dirichlet Characters on â??_{ â??}²""""References""; ""Noncommutative solenoids and their projective modules""; ""1. Introduction""; ""2. Noncommutative Solenoids""; ""3. Classification of the noncommutative Solenoids""; ""4. Forming projective modules over noncommutative solenoids from the inside out""; ""5. Forming projective modules over noncommutative solenoids using -adic fields""; ""References""; ""Paley-Wiener-Schwartz nearly Parseval frames on noncompact symmetric spaces""; ""1. Introduction""""2. Harmonic analysis on Riemannian symmetric spaces of the noncompact type""""3. Paley-Wiener spaces _{ }( )""; ""4. Average sampling and almost Parseval frames in Paley-Wiener spaces on Riemannian manifolds""; ""5. Nearly Parseval Paley-Wiener frames on = / ""; ""References""; ""Projective multiresolution analyses over irrational rotation algebras""; ""1. Introduction""; ""2. Preliminaries""; ""3. Definition of projective multiresolution analysis""; ""4. A PMRA over _{ } that is initially free""; ""5. Building the module frame""; ""6. Conclusion and open questions""""References""""Part II [.3cm]Commutative Harmonic Analysis""; ""Regularity of abelian linear actions""; ""1. Introduction""; ""2. Analytic group actions and regular orbits""; ""3. Group action on a fiber bundle""; ""4. Linear action of a connected abelian group""; ""References""; "" -widths and approximation theory on compact Riemannian manifolds""; ""1. Introduction and main results""; ""2. Kernels of elliptic operators on compact Riemannian manifolds""; ""3. Proof of Theorem 1.1""; ""4. Widths of balls in Besov spaces""; ""5. Approximation theory on compact homogeneous manifolds""""References""""A four dimensional continuous wavelet transform""; ""1. Introduction""; ""2. The four dimensional transform""; ""3. Notation and definitions""; ""4. A square-integrable irreducible representation""; ""5. The general continuous wavelet transform""; ""6. A discrete frame""; ""References""; ""Part III Applications""; ""Dynamical Sampling in Shift-Invariant Spaces""; ""1. Introduction""; ""2. Dynamical Sampling in Shift-Invariant Spaces""; ""References""; ""High-Frequency Tail Index Estimation by Nearly Tight Frames""; ""1. Introduction""; ""2. Random fields and mexican needlets""""3. Mexican Needlet Whittle-like approximation to likelihood function""Contemporary mathematics (American Mathematical Society) ;Volume 603.Harmonic analysisCongressesDifferential equations, PartialCongressesElectronic books.Harmonic analysisDifferential equations, Partial515/.53Mayeli Azita1976-AMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential EquationsMiAaPQMiAaPQMiAaPQBOOK9910478885303321Commutative and noncommutative harmonic analysis and applications2100037UNINA