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Green function diagonal for a class of heat equations
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| Applied Mathematics and Computation |
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A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented for a subclass directly linked to hyperelliptic functions.
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Green function, Zeta function, Heat kernel, Finite-gap potential, Elliptic potential
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