The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1AMS Author Handbook and the Instruction Manual are available in PDF format from the author package link. ... CD to the Electronic Prepress Department, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA.
|Title||:||Analysis of the Hodge Laplacian on the Heisenberg Group|
|Author||:||Detlef Muller, Marco M. Peloso, Fulvio Ricci|
|Publisher||:||American Mathematical Soc. - 2014-12-20|