Classical and Multilinear Harmonic Analysis: Volume 1

Classical and Multilinear Harmonic Analysis: Volume 1 PDF

Author: Camil Muscalu

Publisher: Cambridge University Press

Published: 2013-01-31

Total Pages: 389

ISBN-13: 1139619160

DOWNLOAD EBOOK →

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.

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis PDF

Author: Camil Muscalu

Publisher:

Published: 2013

Total Pages:

ISBN-13: 9781139047081

DOWNLOAD EBOOK →

"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"--

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis PDF

Author: Camil Muscalu

Publisher: Cambridge University Press

Published: 2013-01-31

Total Pages: 341

ISBN-13: 1107031826

DOWNLOAD EBOOK →

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Classical and Multilinear Harmonic Analysis: Volume 2

Classical and Multilinear Harmonic Analysis: Volume 2 PDF

Author: Camil Muscalu

Publisher: Cambridge University Press

Published: 2013-01-31

Total Pages: 341

ISBN-13: 1139620460

DOWNLOAD EBOOK →

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.

Mathematics for Multimedia

Mathematics for Multimedia PDF

Author: Mladen Victor Wickerhauser

Publisher: Springer Science & Business Media

Published: 2009-10-30

Total Pages: 306

ISBN-13: 0817648801

DOWNLOAD EBOOK →

This textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication. Replete with exercises, sample programs in Standard C, and numerous illustrations, Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in computer science and mathematics who seek an innovative approach to contemporary mathematics with practical applications. The work may also serve as an invaluable reference for multimedia applications developers and all those interested in the mathematics underlying multimedia design and implementation.

Classical and Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis PDF

Author: Camil Muscalu

Publisher: Cambridge University Press

Published: 2013-01-31

Total Pages: 389

ISBN-13: 0521882451

DOWNLOAD EBOOK →

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Fourier Analysis with Applications

Fourier Analysis with Applications PDF

Author: Adrian Constantin

Publisher: Cambridge University Press

Published: 2016-06-02

Total Pages: 368

ISBN-13: 1107044103

DOWNLOAD EBOOK →

A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.

Semi-Markov Models and Applications

Semi-Markov Models and Applications PDF

Author: Jacques Janssen

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 403

ISBN-13: 1461332885

DOWNLOAD EBOOK →

This book presents a selection of papers presented to the Second Inter national Symposium on Semi-Markov Models: Theory and Applications held in Compiegne (France) in December 1998. This international meeting had the same aim as the first one held in Brussels in 1984 : to make, fourteen years later, the state of the art in the field of semi-Markov processes and their applications, bring together researchers in this field and also to stimulate fruitful discussions. The set of the subjects of the papers presented in Compiegne has a lot of similarities with the preceding Symposium; this shows that the main fields of semi-Markov processes are now well established particularly for basic applications in Reliability and Maintenance, Biomedicine, Queue ing, Control processes and production. A growing field is the one of insurance and finance but this is not really a surprising fact as the problem of pricing derivative products represents now a crucial problem in economics and finance. For example, stochastic models can be applied to financial and insur ance models as we have to evaluate the uncertainty of the future market behavior in order, firstly, to propose different measures for important risks such as the interest risk, the risk of default or the risk of catas trophe and secondly, to describe how to act in order to optimize the situation in time. Recently, the concept of VaR (Value at Risk) was "discovered" in portfolio theory enlarging so the fundamental model of Markowitz.

Lanterna Rally - Theme by Grace Themes