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Item Details
| Title:
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ANALYSIS OF THE HODGE LAPLACIAN ON THE HEISENBERG GROUP
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| By: |
Detlef Muller, Marco M. Peloso, Fulvio Ricci |
| Format: |
Paperback |
| List price:
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£67.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1470409399 |
| ISBN 13: |
9781470409395 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
30 January, 2015 |
| Series: |
Memoirs of the American Mathematical Society 233/1095 |
| Pages: |
91 |
| Synopsis: |
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<=k<=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 , hold on H n;*(2) whether the Riesz transforms dDELTA -12 k are L p -bounded, for 1" ; *(3) how to prove a sharp Mihilin-Hormander multiplier theorem for DELTA k , 0<=k<=2n 1 . |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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