Classical And Multilinear Harmonic Analysis Volume 2
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Author | : Camil Muscalu |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2013-01-31 |
Genre | : Mathematics |
ISBN | : 1139620460 |
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.
Author | : Camil Muscallu |
Publisher | : |
Total Pages | : 342 |
Release | : 2013 |
Genre | : Harmonic analysis |
ISBN | : 9781139616744 |
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Author | : Camil Muscalu |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2013-01-31 |
Genre | : Mathematics |
ISBN | : 1107031826 |
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Author | : Camil Muscalu |
Publisher | : Cambridge University Press |
Total Pages | : 389 |
Release | : 2013-01-31 |
Genre | : Mathematics |
ISBN | : 1139619160 |
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 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.
Author | : Camil Muscalu |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : Harmonic analysis |
ISBN | : 9781139047081 |
"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 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"--
Author | : Camil Muscalu |
Publisher | : |
Total Pages | : 390 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 9781139624749 |
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Author | : Mark A. Pinsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 398 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 082184797X |
This text provides a concrete introduction to a number of topics in harmonic analysis, accessible at the early graduate level or, in some cases, at an upper undergraduate level. It contains numerous examples and more than 200 exercises, each located in close proximity to the related theoretical material.
Author | : Ciprian Demeter |
Publisher | : Cambridge University Press |
Total Pages | : 349 |
Release | : 2020-01-02 |
Genre | : Mathematics |
ISBN | : 1108499708 |
Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.
Author | : Yitzhak Katznelson |
Publisher | : |
Total Pages | : 292 |
Release | : 1968 |
Genre | : Harmonic analysis |
ISBN | : |
Author | : Radu Balan |
Publisher | : Birkhäuser |
Total Pages | : 346 |
Release | : 2017-06-20 |
Genre | : Mathematics |
ISBN | : 3319547119 |
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.