LEADER 05506nam 2200709Ia 450 001 9910454838303321 005 20200520144314.0 010 $a981-283-444-3 035 $a(CKB)1000000000765995 035 $a(EBL)1193773 035 $a(SSID)ssj0000520134 035 $a(PQKBManifestationID)12185067 035 $a(PQKBTitleCode)TC0000520134 035 $a(PQKBWorkID)10523877 035 $a(PQKB)10244760 035 $a(MiAaPQ)EBC1193773 035 $a(WSP)00007002 035 $a(Au-PeEL)EBL1193773 035 $a(CaPaEBR)ebr10688064 035 $a(CaONFJC)MIL498397 035 $a(OCoLC)820944609 035 $a(EXLCZ)991000000000765995 100 $a20080726d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aTopics in classical analysis and applications in honor of Daniel Waterman$b[electronic resource] /$feditors, Laura De Carli, Kazaros Kazarian, Mario Milman 210 $aHackensack, N.J. $cWorld Scientific$dc2008 215 $a1 online resource (204 p.) 300 $aDescription based upon print version of record. 311 $a981-283-443-5 320 $aIncludes bibliographical references and index. 327 $aPreface; 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 Ash 327 $a1. 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. Tretyachenko 327 $a1. Regulated Functions and Selection Principles2. Main Results; 3. Properties of N(?, 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. Introduction 327 $a2. 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 ?(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 ?(z) and Fa,c(z); Acknowledgment; References 327 $aFunctions 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 ??n; 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. Milman 327 $a1. Introduction 330 $aThis 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. 606 $aMathematical analysis 606 $aFunctional analysis 606 $aFourier series 606 $aOrthogonal polynomials 608 $aElectronic books. 615 0$aMathematical analysis. 615 0$aFunctional analysis. 615 0$aFourier series. 615 0$aOrthogonal polynomials. 676 $a515 701 $aDe Carli$b Laura$f1962-$0310924 701 $aKazarian$b Kazaros$0956343 701 $aMilman$b Mario$060307 701 $aWaterman$b Daniel$061899 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454838303321 996 $aTopics in classical analysis and applications in honor of Daniel Waterman$92165325 997 $aUNINA