Classical and Multilinear Harmonic Analysis
ISBN: 9781107031821 | 1107031826
Format: HardcoverPublisher: Cambridge Univ Pr
Pub. Date: 3/31/2013
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This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderon-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are... MORE
| Preface | |
| Acknowledgements | |
| Leibniz rules and gKdV equations | |
| Classical paraproducts | |
| Paraproducts on polydiscs | |
| Calderón commutators and the Cauchy integral | |
| Iterated Fourier series and physical reality | |
| The bilinear Hilbert transform | |
| Almost everywhere convergence of Fourier series | |
| Flag paraproducts | ... MORE |
| Appendix: multilinear interpolation | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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