Classical and Multilinear Harmonic Analysis: Volume 1
ISBN: 9780521882453 | 0521882451
Format: HardcoverPublisher: Cambridge University Press
Pub. Date: 3/11/2013
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This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourie... MORE
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourie... MORE
| Preface | |
| Fourier series: convergence and summability | |
| Harmonic functions on D and the Poisson kernel | |
| Analytic h1(D) functions, F. and M. Riesz theorem | |
| The conjugate harmonic function | |
| The Fourier Transform on Rd | |
| Introduction to probability theory I | |
| Fourier series on L1(T): pointwise questions | |
| Calderón-Zygmund theory of singular ... MORE | |
| Almost orthogonality | |
| The uncertainty principle | |
| Littlewood-Paley theory | |
| Fourier restriction and applications | |
| References | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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