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

Format:

Book

Author/Creator:

Müller, Detlef, 1954- author.

Peloso, Marco M., author.

Ricci, Fulvio, 1948- author.

Series:

Memoirs of the American Mathematical Society ; v. 1095.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1095

Language:

English

Subjects (All):

Harmonic analysis.

Physical Description:

1 online resource (vi, 91 pages).

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2015]

System Details:

Mode of access : World Wide Web

text file

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

Notes:

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

Includes bibliographical references (pages 89-91).

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

Description based on print version record.

Other Format:

Print version: Müller, Detlef, 1954- Analysis of the Hodge Laplacian on the Heisenberg group /

ISBN:

9781470419639

Access Restriction:

Restricted for use by site license.