On the comparison of the Dirichlet and Neumann counting functions
Y. Safarov
TL;DR
This paper extends Friedlander's results on the relationship between Dirichlet and Neumann counting functions to a more abstract mathematical setting, broadening their applicability.
Contribution
It generalizes Friedlander's findings, demonstrating their validity beyond the original context in an abstract framework.
Findings
Friedlander's relations hold in a broader abstract setting
The results unify Dirichlet and Neumann spectral theories
Extension of classical spectral comparison results
Abstract
The aim of the paper is to show that L. Friedlander's results on the relation between Dirichlet and Neumann counting functions (Arch. Ration. Mech. Anal. 116, 1991) remain valid in abstract setting.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · Mathematical Approximation and Integration