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math.FA2025
An Operator Theoretical Approach to Mercer's Theorem
Aurelian Gheondea
This is a survey article on Mercer's Theorem in its most general form and its relations with the theory of reproducing kernel Hilbert spaces and the spectral theory of compact oper…
math.FA2025
Representing Locally Hilbert Spaces and Functional Models for Locally Normal Operators
Aurelian Gheondea
The aim of this article is to explore in all remaining aspects the spectral theory of locally normal operators. In a previous article we proved the spectral theorem in terms of loc…