Nonlinear Dynamics and Applications

2006, Vol.13, pp.270-274


Functional integrals on the space of functions of multiple variables and the measure interpolation formula
A.D. Egorov, A.V. Zherelo

The formula of measure interpolation was used for constructing of approximation formulas for functional integrals determined on spaces of functions of many variables. Considered in this paper approximations is specific for such spaces and can not be given from formulas which were constructed for generalized approximations of integrals in linear spaces.
Key words: functional integral, measure interpolation, approximation, functions of many variables

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