Microlocal Analysis and Spectral Theory (NATO Science Series C: (closed)) Book Information:

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Overview & Summary ofMicrolocal Analysis and Spectral Theory (NATO Science Series C: (closed)) Book

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 Schr dinger 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 (Schr dinger 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.

• Book Type :

Higher Education Textbooks

Book Binding :

Paperback

Language :

English

Number of Pages :

ISBN - 10 :

0792345444

Microlocal Analysis and Spectral Theory (NATO Science Series C: (closed)) Published On :

Import, 30 Apr 1997

Resource:

Textbooks & Study Guides, Higher Education Textbooks Books for Students, Teachers, Graudates, Professionals and all others

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