On the regularized trace of a differential operator of Sturm-Liouville type
Filomat, Tome 36 (2022) no. 13, p. 4515
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In this work, we study a spectral problem for the abstract Sturm-Liouville operator with a bounded operator coefficient V(t) and with periodic boundary conditions on the interval [0, π], and we present a regularized trace formula for this operator.
Classification :
47A10, 34L20
Keywords: Hilbert space, Trace-class operator, Spectrum, Regularized trace
Keywords: Hilbert space, Trace-class operator, Spectrum, Regularized trace
Erdal Gül. On the regularized trace of a differential operator of Sturm-Liouville type. Filomat, Tome 36 (2022) no. 13, p. 4515 . doi: 10.2298/FIL2213515G
@article{10_2298_FIL2213515G,
author = {Erdal G\"ul},
title = {On the regularized trace of a differential operator of {Sturm-Liouville} type},
journal = {Filomat},
pages = {4515 },
year = {2022},
volume = {36},
number = {13},
doi = {10.2298/FIL2213515G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213515G/}
}
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