Analysis of the Hodge Laplacian on the Heisenberg Group

Download or Read eBook Analysis of the Hodge Laplacian on the Heisenberg Group PDF written by Detlef Muller and published by American Mathematical Soc.. This book was released on 2014-12-20 with total page 104 pages. Available in PDF, EPUB and Kindle.
Analysis of the Hodge Laplacian on the Heisenberg Group
Author :
Publisher : American Mathematical Soc.
Total Pages : 104
Release :
ISBN-10 : 9781470409395
ISBN-13 : 1470409399
Rating : 4/5 (95 Downloads)

Book Synopsis Analysis of the Hodge Laplacian on the Heisenberg Group by : Detlef Muller

Book excerpt: 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, 1


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