Overview

"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."

Full Product Details

Author:   Luigi Rodino
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   490
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 24.00cm
Weight:   0.723kg
ISBN:  

9789401063715

ISBN 10:   9401063710
Pages:   444
Publication Date:   26 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

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.

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