Format:
Online-Ressource (310p, digital)
ISBN:
9783642111143
Series Statement:
C.I.M.E. Summer Schools 70
Content:
Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds -- R. Bott: Some aspects of invariant theory in differential geometry -- E.M. Stein: Singular integral operators and nilpotent groups -- Seminars: P. Malliavin: Diffusion et géométrie différentielle globale -- S. Helgason: Solvability of invariant differential operators on homonogeneous manifolds.
Content:
Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory in differential geometry.- E.M. Stein: Singular integral operators and nilpotent groups.- Seminars: P. Malliavin: Diffusion et géométrie différentielle globale.- S. Helgason: Solvability of invariant differential operators on homonogeneous manifolds.
Note:
Description based upon print version of record
,
Differential Operators on Manifolds; Copyright Page; Contents; Classical Groups and Classical Differentjal Operators on Manifolds; Lecture I; Lecture II; Lecture III; Lecture IV; Lecture V; Lecture VI; Lecture VII; Lecture VIII; References; Some Aspects of Invariant Theory in Differential Geometry; 1. Introduction; 2. Some basic theorems in differential geometry; 3. The full linear group; 4. The Group Diff M; 5. The Jet-spaces Image; 6. The natural thickenings of M; 7. The "first main theorem" of invariant theory and some of its applications; 8. Characteristic classes of Foliations
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BibliographySingular Integral Operators and Nilpotent Groups; 1. The Hilbert transform and the Cauchy integral; 2. Homogeneous distributions in Image; 3. LP Theory; 4. Sobolev and Lipschitz spaces; 5. Pseudo-differential operators; 6. Parametricies and estimates for elliptic operators; 7. Entr'acte; 8. Cauchy-Szego integral and Heisenberg group; 9. Homogeneous groups; 10. The Image-complex on the Heisenberg group; 11. The Lewy equation; 12. Application to hypoelliptic operators Literature; Literature; Diffusions et Geometrie Differentielle Globale
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Chapitre 0. Premiers éléments de la Théorie des diffusionsChapitre I. Equations de comparaisons et diffusions; Chapitre II. Annulations de cohomologie et propriétés ergodiques de la diffusion horizontale; Chapitre III. Formules de Poisson; Appendice; References; Solvability of Invariant Differential Operators on Homogeneous Manipolds; 1 . Introduction and summary; 2. Solvability results. Indications of proofs; Bibliography;
Additional Edition:
ISBN 9783642111136
Additional Edition:
Buchausg. u.d.T. Differential Operators on Manifolds Berlin : Springer, 2010 ISBN 9783642111136
Language:
English
Keywords:
Differentialoperator
;
Mannigfaltigkeit
;
Konferenzschrift
;
Konferenzschrift
DOI:
10.1007/978-3-642-11114-3
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
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