Geodesic
Regularized Trace of the Dirac Operator
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 134-146

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Formulas for the regularized trace of the one-dimensional non–self-adjoint Dirac operator with $L^2$-potential are obtained. The cases of periodic and antiperiodic boundary conditions as well as of the Dirichlet boundary conditions are considered. The formulas are obtained by using the method of similar operators on the basis of results from the papers [1] and [2].
Keywords: non–self-adjoint Dirac operator, regularized trace, periodic/antiperiodic boundary conditions, Dirichlet boundary conditions, Hilbert space, complex Banach space, Banach algebra
Mots-clés : Fourier coefficient. 
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     author = {A. O. Shcherbakov},
     title = {Regularized {Trace} of the {Dirac} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {134--146},
     publisher = {mathdoc},
     volume = {98},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a9/}
}
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A. O. Shcherbakov. Regularized Trace of the Dirac Operator. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 134-146. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a9/