Analysis of the Hodge Laplacian on the Heisenberg group / [electronic resource] Detlef M�uller, Marco M. Peloso, Fulvio Ricci.

By: M�uller, Detlef, 1954- [author.]Contributor(s): Peloso, Marco M [author.] | Ricci, Fulvio, 1948- [author.]Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 1095Publisher: Providence, Rhode Island : American Mathematical Society, [2015]Description: 1 online resource (pages cm.)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470419639 (online)Subject(s): Harmonic analysisAdditional physical formats: Analysis of the Hodge Laplacian on the Heisenberg group /DDC classification: 515/.785 LOC classification: QA403 | .M85 2015Online resources: Contents | Contents
Contents:
Introduction Chapter 1. Differential forms and the Hodge Laplacian on $H_n$ Chapter 2. Bargmann representations and sections of homogeneous bundles Chapter 3. Cores, domains and self-adjoint extensions Chapter 4. First properties of $\Delta _k$; exact and closed forms Chapter 5. A decomposition of $L^2\Lambda _H^k$ related to the $\partial $ and $\bar \partial $ complexes Chapter 6. Intertwining operators and different scalar forms for $\Delta _k$ Chapter 7. Unitary intertwining operators and projections Chapter 8. Decomposition of $L^2\Lambda ^k$ Chapter 9. $L^p$-multipliers Chapter 10. Decomposition of $L^p\Lambda ^k$ and boundedness of the Riesz transforms Chapter 11. Applications Chapter 12. Appendix
Item type: E-BOOKS
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Link to resource Available EBK13548

"January 2015, volume 233, number 1095 (first of 6 numbers)."

Includes bibliographical references.

Introduction Chapter 1. Differential forms and the Hodge Laplacian on $H_n$ Chapter 2. Bargmann representations and sections of homogeneous bundles Chapter 3. Cores, domains and self-adjoint extensions Chapter 4. First properties of $\Delta _k$; exact and closed forms Chapter 5. A decomposition of $L^2\Lambda _H^k$ related to the $\partial $ and $\bar \partial $ complexes Chapter 6. Intertwining operators and different scalar forms for $\Delta _k$ Chapter 7. Unitary intertwining operators and projections Chapter 8. Decomposition of $L^2\Lambda ^k$ Chapter 9. $L^p$-multipliers Chapter 10. Decomposition of $L^p\Lambda ^k$ and boundedness of the Riesz transforms Chapter 11. Applications Chapter 12. Appendix

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Mode of access : World Wide Web

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