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

By: Contributor(s): 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:
  • volume
ISBN:
  • 9781470419639 (online)
Subject(s): Additional physical formats: Analysis of the Hodge Laplacian on the Heisenberg group /DDC classification:
  • 515/.785 23
LOC classification:
  • QA403 .M85 2015
Online resources:
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
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"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

Description based on print version record.

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