LEADER 05177nam 2200613 450 001 9910478885303321 005 20170828133251.0 010 $a1-4704-1106-7 035 $a(CKB)3780000000000186 035 $a(EBL)3113127 035 $a(SSID)ssj0001048508 035 $a(PQKBManifestationID)11703087 035 $a(PQKBTitleCode)TC0001048508 035 $a(PQKBWorkID)10998211 035 $a(PQKB)10642141 035 $a(MiAaPQ)EBC3113127 035 $a(PPN)197102476 035 $a(EXLCZ)993780000000000186 100 $a20140612h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCommutative and noncommutative harmonic analysis and applications $eAMS Special Session in Memory of Daryl Geller on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, September 22-23, 2012, Rochester Institute of Technology, Rochester, NY /$fAzita Mayeli [and three others], editor 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (218 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$vVolume 603 300 $aDescription based upon print version of record. 311 $a0-8218-9493-5 320 $aIncludes bibliographical references. 327 $a""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{ }_{ }"" 327 $a""8. Krein-Space Operator Induced by Dirichlet Characters on a???_{ a???}A?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"" 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""3. Mexican Needlet Whittle-like approximation to likelihood function"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vVolume 603. 606 $aHarmonic analysis$vCongresses 606 $aDifferential equations, Partial$vCongresses 608 $aElectronic books. 615 0$aHarmonic analysis 615 0$aDifferential equations, Partial 676 $a515/.53 702 $aMayeli$b Azita$f1976- 712 12$aAMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478885303321 996 $aCommutative and noncommutative harmonic analysis and applications$92100037 997 $aUNINA