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Microlocal Analysis and Spectral Theory - Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September-3 October 1996 (Hardcover)
Loot Price: R2,553
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Microlocal Analysis and Spectral Theory - Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September-3 October 1996 (Hardcover)
Series: NATO Science Series: C: Mathematical & Physical Sciences, v. 490
Expected to ship within 12 - 17 working days
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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).
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