✦ LIBER ✦

Spectral Properties of Laplacians on an Abstract Wiener Space with a Weighted Wiener Measure

✍ Scribed by Masanori Hino

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 566 KB
Volume: 147
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.3072

No coin nor oath required. For personal study only.

✦ Synopsis

dedicated to professor shinzo watanabe on the occasion of his sixtieth birthday

We study the Hodge Kodaira Laplacians on an abstract Wiener space with a weighted Wiener measure. Under some exponential integrability conditions for the density function, we determine the kernels, establish the relation between spectrum sets and essential spectrum sets, and prove the Hodge Kodaira decomposition theorem.