On the formula of regularized traces
Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy
TL;DR
This paper introduces a new simple formula for calculating regularized traces of singular ordinary differential operators, simplifying previous approaches and potentially aiding in spectral analysis.
Contribution
The paper presents a novel, simplified formula for regularized traces of singular differential operators, advancing theoretical understanding and computational methods.
Findings
New formula for regularized traces derived
Simplifies calculations for singular operators
Potential applications in spectral theory
Abstract
We obtain a new simple formula for the regularized traces of singular ordinary differential operators.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Numerical methods in inverse problems · Spectral Theory in Mathematical Physics