Analysis of the Hodge Laplacian on the Heisenberg Group - Memoirs of the American Mathematical Society (Paperback)
  • Analysis of the Hodge Laplacian on the Heisenberg Group - Memoirs of the American Mathematical Society (Paperback)
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Analysis of the Hodge Laplacian on the Heisenberg Group - Memoirs of the American Mathematical Society (Paperback)

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Paperback 91 Pages / Published: 30/01/2015
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The authors consider the Hodge Laplacian on the Heisenberg group H n , endowed with a left-invariant and U(n) -invariant Riemannian metric. For 0 k 2n 1 , let 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

(2) whether the Riesz transforms d 12 k are L p -bounded, for 1

Publisher: American Mathematical Society
ISBN: 9781470409395
Number of pages: 91
Dimensions: 254 x 178 mm

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