We consider the spectral problem for the Sturm-Liouville equation with a complex-valued potential and with irregular boundary conditions on the interval . We establish a formula for the first regularized trace of the this operator.
Submitted January 8, 2009. Published February 3, 2009.
Math Subject Classifications: 34L05, 34B24.
Key Words: Sturm-Liouville operator; eigenvalue problem; spectrum.
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| Alexander Makin |
Moscow State University of Instrument-Making and Informatics
Stromynka 20, Moscow, 107996, Russia
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