Revisited version of Weyl's limit point-limit circle criterion for essential self-adjointness

TL;DR

This paper presents a new proof of Weyl's limit point-limit circle criterion for essential self-adjointness, emphasizing Sobolev-space methods to enhance understanding and applicability.

Contribution

It introduces a novel proof approach for Weyl's criterion using Sobolev-space techniques, providing clearer insights and potential for broader applications.

Findings

New proof of Weyl's criterion established

Sobolev-space methods effectively applied to self-adjointness

Enhanced understanding of limit point-limit circle conditions

Abstract

A new proof of the Weyl limit point-limit circle criterion is obtained, with systematic emphasis on Sobolev-space methods.