Results 231 to 240 of about 44,639 (273)

Regularized Trace of the Cauchy Transform

Integral Equations and Operator Theory, 2012
The author discusses the regularized trace of the Cauchy transform \(C_{\Omega}\). He provides a more explicit formula for the regularized trace of the operator \(C_{\Omega}^{*}C_{\Omega}\). A detailed proof of the main theorem is given.
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Regularized trace of the Dirac operator

Mathematical Notes, 2015
In this paper, the author considers one-dimensional Dirac operators in \(L_2((0,\pi); \mathbb{C}^2)\) with \(L_2\)-potential and periodic, antiperiodic and Dirichlet boundary conditions, particularly in the non-selfadjoint case. By using similarity transforms and Fourier techniques, formulas for the regularized trace are derived.
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Regularized traces of integrodifferential operators

Mathematical Notes of the Academy of Sciences of the USSR, 1988
Let T be a self-adjoint operator with discrete spectrum \(\{\lambda_ n\}\) in a separable Hilbert space and let \(\sum_{| \lambda_ n| \leq \lambda}1=O(\lambda^ p)\) as \(\lambda\) \(\to \infty\) with ...
Lyubishkin, V. A., Tsopanov, I. D.
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Regular and context-free nominal traces

Acta Informatica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DEGANO, PIERPAOLO, Mezzetti, G., FERRARI, GIAN-LUIGI   +2 more
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Weak $��$-Regular Trace Languages

2014
12 pages in main body, 4 pages in appendix, 2 ...
Chaturvedi, Namit, Gelderie, Marcus
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Trace anomalies in dimensional regularization

Il Nuovo Cimento A, 1974
An unusual perturbation theory anomaly is pointed out. If there exists a trace identity valid in an arbitrary number of dimensions, then employing dimensional regularization can result in an amplitude satisfying the identity in an arbitrary number of dimensions, but the finite part of the amplitude violating it in four dimensions. An example given here
D. M. Capper, M. J. Duff
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Regularized traces of unitary operators

Russian Mathematical Surveys, 2001
Let \(V_i\), \(i=1,2\), be two unitary operators on a separable Hilbert space, with spectrum consisting of eigenvalues of finite multiplicity converging to \(1\). Assuming that a Cayley condition holds, the authors give a trace formula involving the eigenvalues of \(V_1\) and \(V_2\).
Dubrovskij, V. V., Tipko, A. N., Chekashkina, Z. S.   +2 more
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Regularized traces of discrete operators

Proceedings of the Steklov Institute of Mathematics, 2006
Unbounded perturbations of discrete operators are considered. Formulas for regularized traces are obtained, in which a finite number of corrections of the perturbation theory are used. An exact relation is established between the degree of subordination of a perturbation to the unperturbed operator and the number of corrections necessary for the ...
V. A. Sadovnichii, V. E. Podol’skii
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