Online-Ressource
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
Umfang:
Online-Ressource
ISBN:
9783642110740
Serie:
C.I.M.E. Summer Schools 47
Inhalt:
S. Agmon: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators.- J. Bokobza-Haggiag: Une definition globale des operateurs pseudo-differentiels sur une variete differentiable.- 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 proble
Anmerkung:
Description based upon print version of record
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Pseudo-differential Operators; Copyright Page; Contents; Asymptotic Formulas with Remainder Estimates for Eingevalues of Elliptic Operators; References; Une Definition Globale des Operateurs Pseudo-Differentiels Sur Une Variete Differentiale; Introduction; Chapter I: Limearisation D'une Variete Differentiable; Chapter II: Espaces de Symboles et D'operateurs; Chapter III: Operateurs Pseudo-Differentiels Sur Une Variete Differentiable; Bibliographie; Centro Internazionale Matematico Estivo; Chapter I; Chapter II Opérateurs Pseudo Différentiels sur une Variété à Bord
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Chapter III Problemes Aux Limites Pseudo DifferentielsBibliographie; A Priori Estimates for Singular Integral Operators; 1. Singular integral operators; 2. Local behaviour of singular integral operators. Asymptotic expansions in terms of differential operators with polynomial coefficients; 3. Almost positive operators; 4. A Priori inequalities for singular integral operators; References; Characterization of Spaces of Bessel Potentials Related to the Heat Equation; 1. Background; 2. Sampson's characterization; 3. Bagby's characterization; References
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Pseudo-Differential Operators and Non - Elliptic ProblemsReferences; Topics in pseudo-differential operators; I. Distributions and Sobolef Speces; II. Pseudo-differential operators on Rv; III. Kernels of Psi do's; IV. Psi do's on compact manifolds; V. Complex powers of an elliptic operator; VI. Boundary value problems; Appendix; References; Boundary Value Problems for Elliptic Convolution Systems; 0. Introduction and notations; 1. Scalar one-dimensional problems; 2. Vectorial one-dimensional problems; 3. n-dimensional problems; 4. Various remarks; Bibliography; Elliptic Operators on Manifolds
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1. Introduction2. Examples; 3. First applications of ellipticity; 4. The Atiyah-Bott-Lefschetz fixed point formula; 5. Proof of the fixed point formula; 6. Review of K-theory; 7. The Bott Periodicity Theorem; 8. The index theorem; 9. Some applications; Bibliography;
Sprache:
Englisch
Schlagwort(e):
Electronic books
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