13 citations · 21 across the 7 of their papers we have counts for
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Functorial properties of Schwinger-DeWitt expansion and Mellin-Barnes representation
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We consider integral kernels for functions of a minimal second-order differential operator on a curved spacetime. We show that they can be expanded in…
Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts
A. O. Barvinsky, A. E. Kalugin, W. Wachowski
We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the u…
Schwinger--DeWitt expansion for the heat kernel of nonminimal operators in causal theories
Andrei O. Barvinsky, Alexey E. Kalugin, Władysław Wachowski
We suggest a systematic calculational scheme for heat kernels of covariant nonminimal operators in causal theories whose characteristic surfaces are null with respect to a generic…
Heat kernel for higher-order differential operators and generalized exponential functions
A. O. Barvinsky, P. I. Pronin, W. Wachowski
We consider the heat kernel for higher-derivative and nonlocal operators in -dimensional Euclidean space-time and its asymptotic behavior. As a building block for operators of s…
Heat kernel for higher-order differential operators in Euclidean space
W. Wachowski, P. I. Pronin
We consider heat kernel for higher-order operators with constant coefficients in -dimensio\-nal Euclidean space and its asymptotic behavior. For arbitrary operators which are in…