We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
WHITE NOISE ANALYSIS ON MANIFOLDS AND THE ENERGY REPRESENTATION OF A GAUGE GROUP.
- Authors
HASEBE, TAKAHIRO; Bozejko, M.
- Abstract
The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors. Y. Shimada has shown the irreducibility with the use of white noise analysis for compact Riemannian manifolds. In this paper we extend its technique to the noncompact Riemannian manifolds which have differential operators satisfying some conditions.
- Subjects
WHITE noise theory; MANIFOLDS (Mathematics); REPRESENTATIONS of groups (Algebra); GROUP theory; SHIMADA, Y.; RIEMANNIAN geometry
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2010, Vol 13, Issue 4, p619
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025710004243