Classical and multilinear harmonic analysis
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Classical and multilinear harmonic analysis
(Cambridge studies in advanced mathematics, 137-138)
Cambridge University Press, 2013
- v. 1 : hardback
- v. 2 : hardback
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Includes bibliographical references and indexes
Description and Table of Contents
- Volume
-
v. 1 : hardback ISBN 9780521882453
Description
Table of Contents
- Preface
- Acknowledgements
- 1. Fourier series: convergence and summability
- 2. Harmonic functions, Poisson kernel
- 3. Conjugate harmonic functions, Hilbert transform
- 4. The Fourier Transform on Rd and on LCA groups
- 5. Introduction to probability theory
- 6. Fourier series and randomness
- 7. Calderon-Zygmund theory of singular integrals
- 8. Littlewood-Paley theory
- 9. Almost orthogonality
- 10. The uncertainty principle
- 11. Fourier restriction and applications
- 12. Introduction to the Weyl calculus
- References
- Index.
- Volume
-
v. 2 : hardback ISBN 9781107031821
Description
Table of Contents
- Preface
- Acknowledgements
- 1. Leibniz rules and gKdV equations
- 2. Classical paraproducts
- 3. Paraproducts on polydiscs
- 4. Calderon commutators and the Cauchy integral
- 5. Iterated Fourier series and physical reality
- 6. The bilinear Hilbert transform
- 7. Almost everywhere convergence of Fourier series
- 8. Flag paraproducts
- 9. Appendix: multilinear interpolation
- Bibliography
- Index.
by "Nielsen BookData"