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Microlocal analysis and applications lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989

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Published by Springer-Verlag in Berlin, New York .
Written in English

Subjects:

  • Microlocal analysis -- Congresses.

Book details:

Edition Notes

Includes bibliographical references.

StatementJ.M. Bony ... [et al.] ; editors L. Cattabriga, L. Rodino.
SeriesLecture notes in mathematics ;, 1495, Lecture notes in mathematics (Springer-Verlag) ;, 1495.
ContributionsBony, J. M., Cattabriga, Lamberto., Rodino, L., Centro internazionale matematico estivo.
Classifications
LC ClassificationsQA3 .L28 no. 1495, QA299.6 .L28 no. 1495
The Physical Object
Pagination349 p. :
Number of Pages349
ID Numbers
Open LibraryOL1776803M
ISBN 10354054948X, 038754948X
LC Control Number92132187

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  Abstract. Microlocal Analysis deals with the singular behavior of distributions in phase space. Distributions appear in physics in various forms: as mass distributions of point particles, as Green’s functions, and as propagators in quantum field theory. His areas of specialization are analysis, microlocal analysis, spectral theory, partial differential equations and applications to mathematical physics. He proved the Weyl conjecture in , and together with Israel M. Sigal he justified the Scott correction Brand: Springer International Publishing. Microlocal Analysis for Differential Operators: An Introduction (London Mathematical Society Lecture Note Series Book ) - Kindle edition by Grigis, Alain, Sjöstrand, Johannes. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Microlocal Analysis for Differential Operators: An Manufacturer: Cambridge University Press. Microlocal Analysis and Applications Book Subtitle Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at .

In mathematical analysis, microlocal analysis comprises techniques developed from the s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential includes generalized functions, pseudo-differential operators, wave front sets, Fourier integral operators, oscillatory integral operators, and . Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in severalBrand: Springer-Verlag London. Microlocal Analysis and Applications Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3–11, The rst part of this book deals with the construction of the forward funda-mental solution to the perturbed wave operator, D2 t V;and to the existence and elementary properties of the scattering kernel. Various concepts from microlo-cal analysis, in particular that of a conormal distribution, are interwoven into this Size: KB.

Get this from a library! Microlocal analysis and applications: lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July , [J M Bony; Lamberto Cattabriga; L Rodino; Centro internazionale matematico estivo.;]. Microlocal Analysis and applications E. Cordero, F. Nicola, and L. Rodino Abstract. We first give a short survey on the methods of the Microlocal Analysis; in particular we recall some basic facts concerning the theory of the pseudo-differential operators. . A Walking Tour of Microlocal Analysis Jeff Schonert Aug Abstract We summarize some of the basic principles of microlocal analysis and their applications. After reviewing distributions, we then define pseudodifferential operators, their symbols, and the pseudolocal property. This then leads to theFile Size: KB. MICROLOCAL ANALYSIS AND EVOLUTION EQUATIONS: LECTURE NOTES FROM CMI/ETH SUMMER SCHOOL November 7, JARED WUNSCH Contents 1. Introduction 2 2. Prequel: energy methods and commutators 3 The Schro¨dinger equation on Rn 3 The Schro¨dinger equation with a metric 9 The wave equation 10 3. The pseudodifferential File Size: KB.