Microlocal Analysis and Spectral Theory

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...

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Bibliographic Details
Other Authors: Rodino, Luigi (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1997, 1997
Edition:1st ed. 1997
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Microlocal Analysis and Spectral Theory  |h Elektronische Ressource  |c edited by Luigi Rodino 
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260 |a Dordrecht  |b Springer Netherlands  |c 1997, 1997 
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505 0 |a Linear Partial Differential Equations with Multiple Involutive Characteristics -- Gevrey and Analytic Hypoellipticity -- Higher Microlocalization and Propagation of Singularities -- Conormality and Lagrangian Properties in Diffractive Boundary Value Problems -- Parametrized Pseudodifferential Operators and Geometric Invariants -- Boundary Value Problems and Edge Pseudo-differential Operators -- Wodzicki’s Noncommutative Residue and Traces for Operator Algebras on Manifolds with Conical Singularities -- Lower Bounds for Pseudodifferential Operators -- Weyl Formula For Globally Hypoelliptic Operator in Rn -- Splitting in large dimension and infrared estimates -- Microlocal Exponential Estimates and Applications to Tunneling -- A trace formula and review of some estimates for resonances 
653 |a Quantum Physics 
653 |a Mathematical analysis 
653 |a Integral Transforms and Operational Calculus 
653 |a Quantum physics 
653 |a Operator theory 
653 |a Operator Theory 
653 |a Manifolds (Mathematics) 
653 |a Differential Equations 
653 |a Global analysis (Mathematics) 
653 |a Global Analysis and Analysis on Manifolds 
653 |a Differential equations 
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520 |a 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