M�uller, Detlef, 1954-
Analysis of the Hodge Laplacian on the Heisenberg group / [electronic resource] Detlef M�uller, Marco M. Peloso, Fulvio Ricci. - Providence, Rhode Island : American Mathematical Society, [2015] - 1 online resource (pages cm.) - Memoirs of the American Mathematical Society, v. 1095 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015
Mode of access : World Wide Web
9781470419639 (online)
Harmonic analysis.
QA403 / .M85 2015
515/.785
Analysis of the Hodge Laplacian on the Heisenberg group / [electronic resource] Detlef M�uller, Marco M. Peloso, Fulvio Ricci. - Providence, Rhode Island : American Mathematical Society, [2015] - 1 online resource (pages cm.) - Memoirs of the American Mathematical Society, v. 1095 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015
Mode of access : World Wide Web
9781470419639 (online)
Harmonic analysis.
QA403 / .M85 2015
515/.785