Pseudo-differential Operators

✍ Scribed by S. Agmon (auth.), Louis Nirenberg (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2011
• Leaves: 362
• Series: C.I.M.E. Summer Schools 47
• Edition: 1
• Category: Library

✦ Synopsis

S. Agmon: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators.- J. Bokobza-Haggiag: Une définition globale des opérateurs pseudo-différentiels sur une variété différentiable.- L. Boutet de Monvel: Pseudo-differential operators and analytic function.- A. Calderon: A priori estimates for singular integral operators.- B.F. Jones: Characterization of spaces of Bessel potentials related to the heat equation.- J.J. Kohn: Pseudo-differential operators and non-elliptic problems.- R.T. Seeley: Topics in pseudo-differential operators.- I.M. E. Shamir: Boundary value problems for elliptic convolution systems.- Singer: Elliptic operators on manifolds.

✦ Table of Contents

Front Matter....Pages i-iii
Asymptotic Formulas with Remainder Estimates for Eingevalues of Elliptic Operators....Pages 1-9
Une Definition Globale des Operateurs Pseudo-Differentiels sur une Variete Differentiable....Pages 11-36
Pseudo-Differential Operators and Analytic Functions....Pages 37-83
A Priori Estimates for Singular Integral Operators....Pages 85-141
Characterization of Spaces of Bessel Potentials Related to the Heat Equation....Pages 143-155
Pseudo-Differential Operators and Non-Elliptic Problems....Pages 157-165
Topics in pseudo-differential operators....Pages 167-305
Boundary Value Problems for Elliptic Convolutions Systems....Pages 307-331
Elliptic Operators on Manifolds....Pages 333-375

✦ Subjects

Operator Theory; Partial Differential Equations; Global Analysis and Analysis on Manifolds