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The third regularized trace formula for second order differential equations with self-adjoint nuclear class operator coefficients. (English) Zbl 1300.34192

Summary: We obtain a formula for the third regularized trace of selfadjoint differential equation of second-order with a nuclear operator coefficient given on a finite interval.

MSC:

34L05 General spectral theory of ordinary differential operators
34B24 Sturm-Liouville theory
34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators
47D06 One-parameter semigroups and linear evolution equations
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