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math-ph2013★ 2 cited
On the Theory of Self-Adjoint Extensions of the Laplace-Beltrami Operator, Quadratic Forms and Symmetry
Juan Manuel Pérez-Pardo
The main objective of this dissertation is to analyse thoroughly the construction of self-adjoint extensions of the Laplace-Beltrami operator defined on a compact Riemannian manifo…
math.SP2013★ 29 cited
Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary
Alberto Ibort, Fernando LLedó, Juan Manuel Pérez-Pardo
We construct in this article a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth boundary. Each…