Classical and multilinear harmonic analysis
著者
書誌事項
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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v. 1 : hardback515.2433||Mu||120000531198,
v. 2 : hardback515.2433||Mu||220000531201 -
v. 1 : hardbackS||CSAM||137200026166101,
v. 2 : hardbackS||CSAM||138200026166129 -
v. 1 : hardback515.2433/M9800025330853,
v. 2 : hardback515.2433/M9800025330846 -
v. 1 : hardback413/Mu-82/1201490012636,
v. 2 : hardback413/Mu-82/2201490012647 OPAC
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v. 1 : hardback413.54:Mu-82:14000420380,
v. 2 : hardback413.54:Mu-82:24000421195 -
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注記
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
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v. 1 : hardback ISBN 9780521882453
内容説明
目次
- 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.
- 巻冊次
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v. 2 : hardback ISBN 9781107031821
内容説明
目次
- 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.
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