On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces

ABSTRACT This paper is mainly concerned with: (i) a generalization of the Rellich's Lemma to a Riemann subdomain of a complex space, (ii) the Poincaré inequality, and (iii) Friedrichs extension of a Schrödinger type operator. Applications to the eigenfunction expansion problem associated to the modified Laplacian are also given.

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Bibliographic Details
Main Authors: Tung,Chia-chi, Lamberti,Pier Domenico
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200265
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