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ePub Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) download

by Christopher D. Sogge

ePub Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) download
Author:
Christopher D. Sogge
ISBN13:
978-0521060974
ISBN:
0521060974
Language:
Publisher:
Cambridge University Press; 1 edition (April 24, 2008)
Category:
Subcategory:
Mathematics
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1848 kb
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1646 kb
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4.5
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Fourier Integrals in Classical Analysis is an advanced monograph concerned with modern treatments of central problems in harmonic analysis. Series: Cambridge Tracts in Mathematics (Book 105).

Fourier Integrals in Classical Analysis is an advanced monograph concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equations and their counterparts in classical analysis. In particular, basic problems in classical analysis, such as estimates for maximal functions and eigenfunctions, are attacked using modern microlocal techniques  .

Series: Cambridge Tracts in Mathematics (210)

Series: Cambridge Tracts in Mathematics (210). Subjects: Recreational Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis, Mathematics. Recommend to librarian. Fourier Integrals and Classical Analysis is an excellent book on a beautiful subject seeing a lot of high-level activity. Stein, E. M. Oscillatory integrals in Fourier analysis, Beijing Lectures in Harmonic Analysis, Princeton University Press, Princeton, NJ, 1986, pp. 307–56. Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, NJ 1993.

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics). Christopher D. Sogge. Download (djvu, . 1 Mb) Donate Read.

Christopher D. Fourier integrals in classical analysis (Cambridge Tracts in Mathematics 105, Cambridge University Press, 1993). Lectures on non-linear wave equations (International Press, 1995; 2nd e. 2008). Hangzhou lectures on eigenfunctions of the Laplacian, (Annals of Mathematical Studies 188, Princeton University Press, 2014). a b c d Curriculum vitae, retrieved 2015-01-19. Sogge at the Mathematics Genealogy Project.

Author(s) :Christopher D. Sogge (2008).

Series: Cambridge Tracts in Mathematics. Cambridge : Cambridge University Press, 2017. Series: Cambridge tracts in mathematics ; 210 Includes bibliographical references and index. Identifiers: LCCN 2017004380 ISBN 9781107120075 (hardback : alk. paper) Subjects: LCSH: Fourier series. Fourier integral operators.

105 FOURIER INTEGRA LS IN CLASSICA L ANALYSIS CHRISTOPHER D. SOGGE Fourier Integrals in Classical Analysis . Classical Fourier Analysis. SOGGE Fourier Integrals in Classical Analysis is an advan. Fourier Integrals in Classical Analysis. Divisors (Cambridge Tracts in Mathematics).

Автор: Christopher D. Sogge Название: Fourier Integrals in Classical .

The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis.

Cambridge Tracts in Mathematics (Hardcover). Sogge notes that the book evolved out of his 1991 UCLA lecture notes, and this indicates the level of preparation expected from the reader: that of a serious advanced graduate student in analysis, or even a beginning licensed analyst, looking to do work in this area.

Start by marking Fourier Integrals in Classical Analysis as Want to. .

Start by marking Fourier Integrals in Classical Analysis as Want to Read: Want to Read savin. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equations and their Fourier Integrals in Classical Analysis is an advanced monograph concerned with modern treatments of central problems in harmonic analysis.

Fourier Integrals in Classical Analysis is an advanced treatment of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. Using microlocal analysis, the author in particular studies problems involving maximal functions and Riesz means using the so-called half-wave operator. This self-contained book starts with a rapid review of important topics in Fourier analysis. The author then presents the necessary tools from microlocal analysis, and goes on to give a proof of the sharp Weyl formula which he then modifies to give sharp estimates for the size of eigenfunctions on compact manifolds. Finally, the tools that have been developed are used to study the regularity properties of Fourier integral operators, culminating in the proof of local smoothing estimates and their applications to singular maximal theorems in two and more dimensions.