CONTENTS -- Preface -- 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 -- 1. From Operators on L2 (Z) to Concentration -- 1.1. 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 -- 1. Regulated Functions and Selection Principles -- 2. 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. Introduction.

2. Uniform and Lp-Convergence -- 3. 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 Functions to Prove that the Pólya Ξ(z) Function, the Functions Kiz(a), a > 0, and Some Other Entire Functions Having Only Real Zeros G. 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 -- References -- Functions Whose Moments Form a Geometric Progression M. E. H. Ismail, X. Li -- 1. Introduction -- 2. Proofs -- References -- Characterization of Scaling Functions in a Frame Multiresolution Analysis in H2G K. S. Kazarian, A. San Antolı́n -- 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 -- 1. Introduction -- 2. Representation Theorems -- 3. Higher Order Cancellations -- 4. Higher Order Commutators -- 5. Comparison with Earlier Results and Some Questions -- References -- Convergence of Greedy Approximation with Regard to the Trigonometric System V. Temlyakov -- 1. Introduction -- 2. Greedy Approximation with Regard to the Trigonometric System -- References -- Functions of Bounded Λ-Variation F. Prus-Wiśniowski -- 1. About the Definition -- 2. Basic Properties -- 3. The Structure of Regulated Functions -- 4. Local Λ-Variation and Its Decomposition -- 5. Continuity in Λ-Variation and Λ-Absolute Continuity -- 6. Relationship Between ΛBV and ΛBVc.

References -- Author Index.