TY  - BOOK
AU  - M�uller,Detlef
AU  - Peloso,Marco M.
AU  - Ricci,Fulvio
TI  - Analysis of the Hodge Laplacian on the Heisenberg group
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470419639 (online)
AV  - QA403 .M85 2015
U1  - 515/.785 23
PY  - 2015///]
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Harmonic analysis
N1  - "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
UR  - http://www.ams.org/
UR  - http://dx.doi.org/10.1090/memo/1095
ER  -