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Details for article 1 of 6 found articles
| Title: |
Asymptotic Behavior of Poisson Kernels on NA Groups |
| Author: |
Buraczewski, Dariusz Damek, Ewa Hulanicki, Andrzej |
| Appeared in: |
Communications in partial differential equations |
| Paging: | Volume 31 (2006) nr. 10 pages 1547-1589 |
| Year: |
2006-10-01 |
| Contents: |
On a Lie group S = NA, that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, a probability measure μ is considered and treated as a distribution according to which transformations s ∈ S acting on N = S/A are sampled. Under natural conditions, formulated some over thirty years ago, there is a μ-invariant measure m on N. Properties of m have been intensively studied by a number of authors. The present article deals with the situation when μ(A) = (st ∈ A), where + ∋ t → st ∈ S is the diffusion on S generated by a second order subelliptic, hypoelliptic, left-invariant operator on S. In this article the most general operators of this kind are considered. Precise asymptotic for m at infinity and for the Green function of the operator are given. To achieve this goal a pseudodifferential calculus for operators with coefficients of finite smoothness is formulated and applied. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 6 found articles
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