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Analysis of the Hodge Laplacian on the Heisenberg group /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autores principales:	Müller, Detlef, 1954- (Autor), Peloso, Marco M. (Autor), Ricci, Fulvio, 1948- (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Providence, Rhode Island : American Mathematical Society, 2014.
Colección:	Memoirs of the American Mathematical Society ; Volume 233, no. 1095 (first of 6 numbers)
Temas:	Harmonic analysis. Fourier Analysis Analyse harmonique. Harmonic analysis
Acceso en línea:	Texto completo

Tabla de Contenidos:

Cover
Title page
Introduction
Chapter 1. Differential forms and the Hodge Laplacian on _{ }
Chapter 2. Bargmann representations and sections of homogeneous bundles
Chapter 3. Cores, domains and self-adjoint extensions
Chapter 4. First properties of Î?_{ }; exact and closed forms
Chapter 5. A decomposition of Â²Î?_{ }^{ } related to the â?? and â?? complexes
5.1. The subspaces
5.2. The action of Î?_{ }
5.3. Lifting by Î?
Chapter 6. Intertwining operators and different scalar forms for Î?_{ }
6.1. The case of â?€^{, }6.2. The case of _{2,â??}^{, }
6.3. The case of _{1,â??}^{, }
Chapter 7. Unitary intertwining operators and projections
7.1. A unitary intertwining operator for â?€^{, }
7.2. Unitary intertwining operators for _{1,â??}^{, Â"}
7.3. A unitary intertwining operator for ^{, }_{2,â??}
Chapter 8. Decomposition of Â²Î?^{ }
8.1. The *-Hodge operator and the case <\le2 +1
Chapter 9. ^{ }-multipliers
9.1. The multiplier theorem
9.2. Some classes of multipliers
Chapter 10. Decomposition of ^{ }Î?^{ } and boundedness of the Riesz transforms10.1. ^{ }- boundedness of the intertwining operators _{1,â??}^{Â"}
10.2. ^{ }- boundedness of the intertwining operators _{2,â??}
Chapter 11. Applications
11.1. Multipliers of Î?_{ }
11.2. Exact ^{ }-forms
11.3. The Dirac operator
Chapter 12. Appendix
Bibliography
Back Cover

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