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Microlocal Analysis and Spectral Theory

Microlocal Analysis and Spectral Theory

Paperback

Series: NATO Science Series C:, Book 490

CalculusGeneral Mathematics

ISBN10: 9401063710
ISBN13: 9789401063715
Publisher: Springer
Published: Oct 26 2012
Pages: 444
Weight: 1.40
Height: 0.92 Width: 6.14 Depth: 9.21
Language: English
The NATO Advanced Study Institute Microlocal Analysis and Spectral The- ory was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center 11 Ciocco, from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa- tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin- ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math- ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.

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