𝔖 Bobbio Scriptorium
✦   LIBER   ✦

From the heat measure to the pinned Wiener measure on loop groups

✍ Scribed by Jinghai Shao

Book ID
113509537
Publisher
Elsevier Science
Year
2011
Tongue
French
Weight
143 KB
Volume
135
Category
Article
ISSN
0007-4497

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Correction to the Paper β€œIntegration b
A Correction to the Paper β€œIntegration by Parts and Quasi-Invariance for Heat Kernel Measures on Loop Groups”
✍ Bruce K. Driver πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 151 KB

It is asserted in Definition 4.2 in [1] that the random operators U(t) defined there are unitary. As was pointed out to the author by Shizan Fang, it is clear that U(t) is an isometry but it is not obvious that U(t) is surjective. The purpose of this note is to fill this gap. 1998 Academic Press 1.

Logarithmic Sobolev Inequality on Free L
Logarithmic Sobolev Inequality on Free Loop Groups for Heat Kernel Measures Associated with the General Sobolev Spaces
✍ Yuzuru Inahama πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 286 KB

In this paper we will prove the logarithmic Sobolev inequality on free loop groups for various heat kernel measures which P. Malliavin (1989Malliavin ( , 1991, in ``Diffusion Process and Related Problems in Analysis (M. A. Pinsley, Ed.), Vol. I, Birkha user, Basel) constructed. Those measures are as