English

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

Functional Analysis 2016-06-17 v2

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.

Keywords

Cite

@article{arxiv.1405.4501,
  title  = {Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations},
  author = {Sonia Mazzucchi},
  journal= {arXiv preprint arXiv:1405.4501},
  year   = {2016}
}