E-Book, Englisch, Band 99, 166 Seiten
Boutet de Monvel / Guillemin The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99
1. Auflage 2016
ISBN: 978-1-4008-8144-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 99, 166 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8144-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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Weitere Infos & Material
Frontmatter, pg. i
TABLE OF CONTENTS, pg. v
§1. Introduction, pg. 1
§2. GENERALIZED TOEPLITZ OPERATORS, pg. 11
§3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE, pg. 21
§4. THE METAPLECTIC REPRESENTATION, pg. 27
§5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS, pg. 35
§6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES, pg. 39
§7. THE COMPOSITION THEOREM, pg. 44
§8. THE PROOF OF THEOREM 7.5, pg. 51
§9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS, pg. 66
§10. THE TRANSPORT EQUATION, pg. 77
§11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS, pg. 80
§12. THE TRACE FORMULA, pg. 90
§13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS, pg. 99
§14. THE HILBERT POLYNOMIAL, pg. 110
§15. SOME CONCLUDING REMARKS, pg. 123
BIBLIOGRAPHY, pg. 128
APPENDIX: QUANTIZED CONTACT STRUCTURES, pg. 131
Backmatter, pg. 161