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The harmonic measures of Lucy Garnett
- Source :
-
Advances in Mathematics . Jun2003, Vol. 176 Issue 2, p187. 61p. - Publication Year :
- 2003
-
Abstract
- This paper presents an improved approach to the theory of harmonic measures for foliated spaces introduced by Garnett. This approach is based on a method for solving elliptic equations on foliated spaces and on the Hille–Yosida theory. The diffusion semigroup of a general Laplacian and its infinitesimal generator are made explicit. Applications of the path space to the dynamical study of a foliated space are described. In particular, the final section studies cocycles on foliated spaces, a formula for their asymptotic limit, and some analytic and geometric consequences. [Copyright &y& Elsevier]
- Subjects :
- *HARMONIC analysis (Mathematics)
*FOLIATIONS (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 176
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 10006850
- Full Text :
- https://doi.org/10.1016/S0001-8708(02)00036-1