Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations

Published 18 May 2014 in math.FA | (1405.4501v2)

Abstract: The definition of infinite dimensional Fresnel integrals is generalized to the case of polynomial phase functions of any degree and applied to the construction of a functional integral representation of the solution of a general class of high order heat-type equations.

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Sonia Mazzucchi

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