Classical and Multilinear Harmonic Analysis: Volume 2
eBook - PDF

Classical and Multilinear Harmonic Analysis: Volume 2

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Classical and Multilinear Harmonic Analysis: Volume 2

About this book

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 Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

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Yes, you can access Classical and Multilinear Harmonic Analysis: Volume 2 by Camil Muscalu,Wilhelm Schlag in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. Acknowledgements
  8. 1 Leibnitz rules and the generalized Korteweg-de Vries equation
  9. 2 Classical paraproducts
  10. 3 Paraproducts on polydisks
  11. 4 CalderĂłn commutators and the Cauchy integral
  12. 5 Iterated Fourier series and physical reality
  13. 6 The bilinear Hilbert transform
  14. 7 Almost everywhere convergence of Fourier series
  15. 8 Flag paraproducts
  16. 9 Appendix: Multilinear interpolation
  17. References
  18. Index