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

Sonia Mazzucchi

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arXiv · 1405.4501

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

Sonia Mazzucchi

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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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BibTeX RIS

Sonia Mazzucchi. 2014-05-18. Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations. https://arxiv.org/abs/1405.4501

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