Symmetrical Extensions of Dirichlet Operators
funct-an
2008-02-03 v1 Functional Analysis
Spectral Theory
Abstract
There is constructed and considered the extension of classical Diriclet operator corresponding to uniformly log-concave measure in the space of symmetric differential forms. Sufficient conditions for its essential self-adjointness in one-dimensional case as well as for the same of its "sypersymmetric" part in general situations are given.
Cite
@article{arxiv.funct-an/9702011,
title = {Symmetrical Extensions of Dirichlet Operators},
author = {A. G. Us},
journal= {arXiv preprint arXiv:funct-an/9702011},
year = {2008}
}
Comments
4 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutionary Problems (September, 18--29, 1996, Sevastopol, Ukraine)