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Classical and Multilinear Harmonic Analysis: Volume 1

By Camil Muscalu, Wilhelm Schlag
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By Camil Muscalu, Wilhelm Schlag
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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 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: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley …

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