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On the strong uniqueness of some finite dimensional Dirichlet operators

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Kolb, M. (2008) On the strong uniqueness of some finite dimensional Dirichlet operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 11 (2). pp. 279-293. ISSN 1793-6306

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To link to this article DOI: 10.1142/S0219025708003117

Abstract/Summary

We prove essential self-adjointness of a class of Dirichlet operators in ℝn using the hyperbolic equation approach. This method allows one to prove essential self-adjointness under minimal conditions on the logarithmic derivative of the density and a condition of Muckenhoupt type on the density itself.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:29102
Publisher:World Scientific
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