The heat kernel measure + t is constructed on GL(H), the group of invertible operators on a complex Hilbert space H. This measure is determined by an infinite dimensional Lie algebra g and a Hermitian inner product on it. The Cameron Martin subgroup G CM is defined and its properties are discussed.
✦ LIBER ✦
Heat Kernel and Green Kernel Comparison Theorems for Infinite Graphs
✍ Scribed by Hajime Urakawa
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 396 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0022-1236
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We study the heat kernel of higher order elliptic operators or systems under divergence form on R n . Ellipticity is in the sense of Ga# rding inequality. We show that for homogeneous operators Gaussian upper bounds and Ho lder regularity of the heat kernel is equivalent to local regularity of weak