We study the spectrum of the Hodge Laplacian Delta(1) acting on 1-forms on the (2n + 1)-dimensional Heisenberg group H(n), by finding the eigenvalues of the image of Delta(1) in the Bargmann representations. As a consequence, we determine explicitly the eigenvalues for Delta(1) on some compact quotients of H(n).
Eigenvalues of the Hodge Laplacian on the Heisenberg group / D. Müller, M.M. Peloso, F. Ricci. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - (2006), pp. 327-342. ((Intervento presentato al 7. convegno International Conference on Harmonic Analysis and Partial Differential Equations tenutosi a El Escorial nel 2004.
Eigenvalues of the Hodge Laplacian on the Heisenberg group
M.M. PelosoSecondo
;
2006
Abstract
We study the spectrum of the Hodge Laplacian Delta(1) acting on 1-forms on the (2n + 1)-dimensional Heisenberg group H(n), by finding the eigenvalues of the image of Delta(1) in the Bargmann representations. As a consequence, we determine explicitly the eigenvalues for Delta(1) on some compact quotients of H(n).
| File | Dimensione | Formato | |
|---|---|---|---|
|
Mu-Pe-Ri.pdf
accesso riservato
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
209.38 kB
Formato
Adobe PDF
|
209.38 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
