2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152429There 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.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)Functional AnalysisSpectral Theorytext