Electron. J. Diff. Equ., Vol. 2016 (2016), No. 31, pp. 1-12.

Regularized trace formula for higher order differential operators with unbounded coefficients

Erdogan Sen, Azad Bayramov, Kamil Orucoglu

Abstract:
In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient.

Submitted April 1, 2015. Published January 20, 2016.
Math Subject Classifications: 47A10, 47A55.
Key Words: Hilbert space; self-adjoint operator; spectrum; trace class operator; regularized trace.

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Erdogan Sen
Department of Mathematics
Faculty of Arts and Science
Nami kKemal University
59030, Tekirdag, Turkey
email: erdogan.math@gmail.com
Azad Bayramov
Department of Mathematics Education
Faculty of Education
Recep Tayyip Erdogan University
Rize, Turkey
email: azadbay@gmail.com
Kamil Orucoglu
Department of Mathematics Engineering
Istanbul Technical University
Maslak, 34469, Istanbul, Turkey
email: koruc@itu.edu.tr

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