Commutative 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], editor

• Record Nr.: UNINA9910478885303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• ISBN: 1-4704-1106-7
• Descrizione fisica: 1 online resource (218 p.)
• Collana: Contemporary Mathematics, , 1098-3627 ; ; Volume 603
• Disciplina: 515/.53
• Soggetti: Harmonic analysis; Differential equations, Partial; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""