Investigation of the Eigenvalue Distribution and Trace Formula of the Bessel Operator Equation
Nigar M. Aslanova
Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
Hajar F. Movsumova *
Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan.
*Author to whom correspondence should be addressed.
Abstract
In the paper we establish a regularized trace of the problem generated by Bessel operator equation and with spectral parameter dependent boundary condition.
Keywords: Hilbert space, self adjoint operator, positive-definite operator, eigenvalues and eigen-vectors, asymptotics of eigenvalues, discrete spectrum, regularized trace