Results 221 to 230 of about 3,084 (253)

Decision problems for regular trace languages

1987
We solve the open problem of characterizing those concurrency alphabets for which the equivalence problem for regular trace languages is decidable. We also give a characterization for the cases in which the intersection emptiness problem is decidable.
IJsbrand Jan Aalbersberg, Hendrik Jan Hoogeboom   +1 more
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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 Trace of a Sturm–Liouville Operator on a Curve with a Regular Singularity on the Chord

Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishkin, Kh. K., Davletova, L. G.
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Regularized Traces for a Class of Singular Operators

Differential Equations, 2001
The author considers the operator \((-1)^n \frac{d^{2n}}{dx^{2n}} +x\) in \(L^2[0,\infty)\), with the boundary conditions \(y^{(k_m)}(0)=0 ...
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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 trace of the inverse of the dirichlet laplacian

Communications on Pure and Applied Mathematics, 2011
Summary: For the eigenvalues \((\lambda_n)^\infty_{n=1}\) of the Dirichlet Laplacian on a bounded convex domain \(\Omega\subset\mathbb C\), we find the sum of the series \[ \sum^\infty_{n=1}\left( \frac{1}{\lambda_n} - \frac{| \Omega|}{4\pi n}\right), \] the regularized trace of the inverse of Dirichlet Laplacian.
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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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Trace Metals and Regular Dialysis

1979
Although the emphasis on identifying uremic toxins has centered around organic compounds, it is now apparent that inorganic solutes also may be responsible for some of the symptomatology of the uremic state. The importance of such electrolyte disturbances as the cardiac and neuromuscular effects of hyperkalemia and hypermagnesemia, the extraskeletal ...
Allen C. Alfrey, W. Rodman Smythe
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Regular Trace Formula and Base Change Lifting

American Journal of Mathematics, 1988
A trace formula for regular test function is called here a regular trace formula. Such a formula is established here for \(\mathrm{GL}(2)\) and is applied to prove the cyclic base change theory for \(\mathrm{GL}(2)\).
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Regularized Traces of Differential Operators

2004
The paper discusses properties of the characteristic determinant and the regularized trace associated to certain differential operators.
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