Articles with "regularized trace" as a keyword



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Formula for Regularized Trace of a Second Order Differential Operator with Involution

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Published in 2020 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-020-05126-z

Abstract: We study a second order differential operator with involution and periodic boundary conditions. We prove a formula for the regularized trace, study the asymptotic behavior of eigenvalues, and obtain an estimate for deviations of spectral… read more here.

Keywords: differential operator; second order; operator involution; formula regularized ... See more keywords

The formula for the regularized trace of the Sturm-Liouville operator with a logarithmic potential

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Published in 2019 at "Tamkang Journal of Mathematics"

DOI: 10.5556/j.tkjm.50.2019.3354

Abstract: We have obtained a regularized trace formula for the Sturm-Liouville operator on a semi-axis with a logarithmic potential. read more here.

Keywords: sturm liouville; regularized trace; logarithmic potential; liouville operator ... See more keywords