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Operator regularization of Green’s functions

Physical Review Letters, 1987
Operator regularization in background-field quantization facilitates the use of a perturbative expansion due to Schwinger to compute Green's functions to all orders. The procedure is distinct from the usual Feynman technique. No explicit divergences are encountered.
, McKeon, , Sherry
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Operator regularization and composite operators

Canadian Journal of Physics, 1990
We demonstrate how operator regularization can be used to compute radiative corrections to Green's functions involving composite operators. No divergences are encountered and no symmetry-breaking regulating parameter need be introduced into the initial Lagrangian.
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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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Interior regularity operators

Analysis Mathematica, 1981
ПустьР - линейный диф ференциальный опера тор с достаточно гладкими коэффициентами. По определению,P явля ется оператором внут ренней регулярности на ω ⊂R n т огда и только тогда, когда\(u \in B_{p,k_{ - N} }^{loc} (\Omega )\) и ω′⊂ω из условия\(Pu \in B_{p,k_s }^{loc} (\Omega ')\) вытекает, что\(u \in B_{p,k_s k}^{loc} (\Omega ')\), где −N+1≦s≦N ...
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Operator regularization on the hypersphere

Canadian Journal of Physics, 1989
Operator regularization has proved to be a viable way of computing radiative corrections that avoids both the insertion of a regulating parameter into the initial Lagrangian and the occurrence of explicit infinities at any stage of the calculation. We show how this regulating technique can be used in conjunction with field theories defined on an n + 1-
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Regular Closure Operators

2003
In an 〈E,M〉-categoryX for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms inM to factor through the “lattice” of all closure operators onM, and to factor through certain sublattices. This leads to the notion ofregular closure operator.
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Regular operators

Functional Analysis and Its Applications, 1968
Vainikko, G. M., Umanskij, J. B.
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Operator regularization with superfields

Physical Review D, 1987
, McKeon, , Rajpoot, , Sherry
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