Microlocal Analysis and Spectral Theory

L. Rodino

ISBN 10: 0792345444 / ISBN 13: 9780792345442

Published by Kluwer Academic Publishers, US, 1997

About this Item

There has been considerable progress in the field of microlocal analysis. In a broad sense the subject is the modern version of the classical Fourier technique for solving partial differential equations, with the localization process taking account of dual variables. The tools of pseudo-differential operators, wave-front sets and Fourier integral operators have now conferred a mature form on the theory of linear partial differential operators in the frame of Schwartz distributions or other generalized functions. At the same time, microlocal analysis has assumed an important role as an independent part of analysis, with other applications throughout mathematics and physics, one major theme being spectral theory for the Schrodinger equation in quantum mechanics. The papers collected here emphasize the topics of microlocal methods in the study of linear PDEs (analytic-Gevrey regularity of the solutions, elliptic boundary value problems, higher microlocalization), and applications to spectral theory (Schrodinger equation, asymptotic behavior of the eigenvalues, semi-classical analysis in large dimensions and statistical mechanics).

Seller Inventory # LU-9780792345442

Bibliographic Details

• Title: Microlocal Analysis and Spectral Theory
• Publisher: Kluwer Academic Publishers, US
• Publication Date: 1997
• Language: English
• ISBN 10: 0792345444
• ISBN 13: 9780792345442
• Binding: Hardback
• Condition: New
• Dimensions: 15.6W x 2.54H x 23.39D centimeters 15.6 centimeters width by 2.54 centimeters height by 23.39 centimeters depth
• Weight: 938 grams

About this title

Synopsis

There has been considerable recent progress in the field of microlocal analysis. In a broad sense the subject is the modern version of the classical Fourier technique for solving partial differential equations, with the localization process taking account of dual variables. The tools of pseudo-differential operators, wave-front sets and Fourier integral operators have now conferred a mature form on the theory of linear partial differential operators in the frame of Schwartz distributions or other generalized functions. At the same time, microlocal analysis has assumed an important role as an independent part of analysis, with other applications throughout mathematics and physics, one major theme being spectral theory for the Schrödinger equation in quantum mechanics.
The papers collected here emphasize the topics of microlocal methods in the study of linear PDEs (analytic-Gevrey regularity of the solutions, elliptic boundary value problems, higher microlocalization), and applications to spectral theory (Schrödinger equation, asymptotic behavior of the eigenvalues, semi-classical analysis in large dimensions and statistical mechanics).
Audience: Accessible to a wide audience, including graduate students in analysis and non-specialists from mathematics and physics.