05473nam 2200697Ia 450 991077795230332120230721021759.0981-283-444-3(CKB)1000000000765995(EBL)1193773(SSID)ssj0000520134(PQKBManifestationID)12185067(PQKBTitleCode)TC0000520134(PQKBWorkID)10523877(PQKB)10244760(MiAaPQ)EBC1193773(WSP)00007002(Au-PeEL)EBL1193773(CaPaEBR)ebr10688064(CaONFJC)MIL498397(OCoLC)820944609(EXLCZ)99100000000076599520080726d2008 uy 0engur|n|---|||||txtccrTopics in classical analysis and applications in honor of Daniel Waterman[electronic resource] /editors, Laura De Carli, Kazaros Kazarian, Mario MilmanHackensack, N.J. World Scientificc20081 online resource (204 p.)Description based upon print version of record.981-283-443-5 Includes bibliographical references and index.Preface; CONTENTS; My Academic Life D. Waterman; REMINISCENCES; RESEARCH; High Indices; Reflexivity and Summability; Harmonic Analysis; Change of Variable; Fourier Series and Generalized Variation; Representation of Functions, Orthogonal Series; Real Analysis; Summability; Survey Papers; PUBLICATIONS; Papers; Books; DOCTORAL STUDENTS; Reminiscences edited by L. Lardy, J. Troutman (with contributions by L. D'Antonio, G. T. Cargo, Ph. T. Church, D. Dezern, G. Gasper, P. Pierce, E. Poletsky, M. Schramm, F. Prus-Wisniowski, P. Schembari); On Concentrating Idempotents, A Survey J. Marshall Ash1. From Operators on L2 (Z) to Concentration1.1. Definitions; 1.2. Relating classes of operators; 1.3. A surprising connection; 1.4. Results for L2 Concentration; 1.5. Quantitative results for L2 concentration; 2. A Paper 20 Years in the Making; 2.1. The early years; 2.2. On the virtues of procrastination; 3. The Future; 3.1. A segue; 3.2. The L1 concentration question; 3.3. A conjecture about operators; References; Variants of a Selection Principle for Sequences of Regulated and Non-Regulated Functions V. V. Chistyakov, C. Maniscalco, Y. V. Tretyachenko1. Regulated Functions and Selection Principles2. Main Results; 3. Properties of N(ε, f, T) for Metric Space Valued Functions; 4. Functions with Values in a Metric Space: Proofs; 5. Functions with Values in a Metric Semigroup; 6. Functions with Values in a Re.exive Separable Banach Space; Acknowledgments; References; Local Lp Inequalities for Gegenbauer Polynomials L. De Carli; 1. Introduction; 2. Preliminaries; 2.1. Four useful Lemmas; 3. Most of the Proofs; References; General Monotone Sequences and Convergence of Trigonometric Series M. Dyachenko, S. Tikhonov; 1. Introduction2. Uniform and Lp-Convergence3. Convergence Almost Everywhere: One-Dimensional Series; 4. Convergence Almost Everywhere: Multiple Series; 5. Concluding Remarks; Acknowledgments; References; Using Integrals of Squares of Certain Real-Valued Special Functionsto Prove that the P ́olya Ξ(z) Function, the Functions Kiz(a), a > 0,and Some Other Entire Functions Having Only Real ZerosG. Gasper; 1. Introduction; 2. Reality of the Zeros of the Functions Kiz(a) When a > 0; 3. Reality of the Zeros of the Functions Ξ(z) and Fa,c(z); Acknowledgment; ReferencesFunctions Whose Moments Form a Geometric Progression M. E. H. Ismail, X. Li1. Introduction; 2. Proofs; References; Characterization of Scaling Functions in a Frame MultiresolutionAnalysis in H2GK. S. Kazarian, A. San Antol ́ın; 1. Introduction; 2. Spaces H2G; 2.1. A-invariant sets; 3. Characterization of Scaling Functions of an FMRA in H2G; 3.1. Definitions and Preliminary results; 3.2. Characterization of scaling functions of an H2G -FMRA and other cases; 4. On the Existence of H2G -MRA and H2G -FMRA; References; An Abstract Coifman-Rochberg-Weiss Commutator Theorem J. Martin, M. Milman1. IntroductionThis book covers a wide range of topics, from orthogonal polynomials to wavelets. It contains several high-quality research papers by prominent experts exploring trends in function theory, orthogonal polynomials, Fourier series, approximation theory, theory of wavelets and applications. The book provides an up-to-date presentation of several important topics in Classical and Modern Analysis. The interested reader will also be able to find stimulating open problems and suggestions for future research.Mathematical analysisFunctional analysisFourier seriesOrthogonal polynomialsMathematical analysis.Functional analysis.Fourier series.Orthogonal polynomials.515De Carli Laura1962-310924Kazarian Kazaros1548686Milman Mario60307Waterman Daniel61899MiAaPQMiAaPQMiAaPQBOOK9910777952303321Topics in classical analysis and applications in honor of Daniel Waterman3805891UNINA