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This unified and self-contained volume examines recent developments in real and harmonic analysis. It is a collection of invited articles, dedicated to Dr. Carlos Segovia on the occasion of his 65th birthday. The first part of the book is comprised of four expository chapters reflecting material presented in mini-courses written by outstanding researchers in their fields. The second part of the books contains state-of-the-art survey chapters covering topics related to Segovia’s work and research interests during his distinguished career. This book will be useful to graduate students and pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis. Contributors include: H. Aimar, A. Bonami, O. Blasco, L. Caffarelli, A. de la Torre, L. Forzani, C. Gutierrez, E. Harboure, E. Hernadez, C. Kenig, R. Macías, F.J. Marin-Reyes. Recent developments in real and harmonic analysis are presented Contributors include outstanding researchers in their respective fields Good blend of expository chapters and state-of-the-art surveys Good reference for graduate students and pure and applied mathematicians
INDICE: Preface.- Constrained Problems for Fractional Powers of the Laplacian.- Topics in Monge–Ampere Type Equations.- Wavelets and Gabor Frames: A Unified Theory.- Topics in Unique Continuation and Dispersive Equations.- Gaussian Harmonic Analysis.- One-Sided Operators. Ergodic Theory.- Hp Spaces.- Spaces of Homogeneous Type.- Vector-Valued Fourier Analysis.- Index.
Abstract Harmonic Analysis; Analysis; Fourier Analysis. Graduate students and researchers in pure and applied mathematics. Contributed volume
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