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

2014/05/18 by Sonia Mazzucchi, Mazzucchi, Sonia
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Stochastic processes and financial applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1405.4501

openalex publication_date 2014/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The definition of infinite dimensional Fresnel integrals is generalized to\nthe case of polynomial phase functions of any degree and applied to the\nconstruction of a functional integral representation of the solution of a\ngeneral class of high order heat-type equations.\n

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