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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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EVALUATION OF MATRIX-VALUED FUNCTIONAL INTEGRALS USING FUNCTIONAL POLYNOMIALS

Abstract

The method of approximate evaluation of matrix-valued functional integrals, generated by the solution of the Dirac equation is proposed. The method is based on the expansion of the functional in a series. The terms of the series have the form of a product of linear functionals with an increasing total power. The convergence of this series for a wide class of functionals is proved.

About the Authors

E. A. Ayryan
Joint Institute for Nuclear Research, Dubna
Russian Federation


V. B. Malyutin
Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
Belarus


References

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)