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Autore: |
Ponge Raphael <1972->
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Titolo: |
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds / / Raphaël S. Ponge
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
©2008 | |
Descrizione fisica: | 1 online resource (150 p.) |
Disciplina: | 515/.7242 |
Soggetto topico: | Hypoelliptic operators |
Spectral theory (Mathematics) | |
Calculus | |
Differentiable manifolds | |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references (pages 131-134). |
Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""1.1. Heisenberg manifolds and their main differential operators""; ""1.2. Intrinsic approach to the Heisenberg calculus""; ""1.3. Holomorphic families of Î?[sub(H)]DO[sub(S)]""; ""1.4. Heat equation and complex powers of hypoelliptic operators""; ""1.5. Spectral asymptotics for hypoelliptic operators""; ""1.6. Weyl asymptotics and CR geometry""; ""1.7. Weyl asymptotics and contact geometry""; ""1.8. Organization of the memoir""; ""Chapter 2. Heisenberg manifolds and their main differential operators""; ""2.1. Heisenberg manifolds"" |
""2.2. Main differential operators on Heisenberg manifolds""""Chapter 3. Intrinsic Approach to the Heisenberg Calculus""; ""3.1. Heisenberg calculus""; ""3.2. Principal symbol and model operators.""; ""3.3. Hypoellipticity and Rockland condition""; ""3.4. Invertibility criteria for sublaplacians""; ""3.5. Invert ibility criteria for the main differential operators""; ""Chapter 4. Holomorphic families of Î?[sub(H)]DO[sub(S)]""; ""4.1. Almost homogeneous approach to the Heisenberg calculus""; ""4.2. Holomorphic families of Î?[sub(H)]DO[sub(S)]"" | |
""4.3. Composition of holomorphic families of Î?[sub(H)]DO[sub(S)]""""4.4. Kernel characterization of holomorphic families of Î?]DO[sub(S)]""; ""4.5. Holomorphic families of Î?]DO[sub(S)] on a general Heisenberg manifold""; ""4.6. Transposes and adjoints of holomorphic families of Î?[sub(H)]DO[sub(S)]""; ""Chapter 5. Heat Equation and Complex Powers of Hypoelliptic Operators""; ""5.1. Pseudodifferential representation of the heat kernel""; ""5.2. Heat equation and sublaplacians""; ""5.3. Complex powers of hypoelliptic differential operators""; ""5.4. Rockland condition and the heat equation"" | |
""5.5. Weighted Sobolev Spaces""""Chapter 6. Spectral Asymptotics for Hypoelliptic Operators""; ""6.1. Spectral asymptotics for hypoelliptic operators""; ""6.2. Weyl asymptotics and CR geometry""; ""6.3. Weyl asymptotics and contact geometry""; ""Appendix A. Proof of Proposition 3.1.18""; ""Appendix B. Proof of Proposition 3.1.21""; ""Appendix. Bibliography""; ""References"" | |
Titolo autorizzato: | Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds ![]() |
ISBN: | 1-4704-0512-1 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910788852103321 |
Lo trovi qui: | Univ. Federico II |
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