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

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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… Click to show full 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 projections.

Keywords: differential operator; second order; operator involution; formula regularized; regularized trace; order differential

Journal Title: Journal of Mathematical Sciences
Year Published: 2020

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