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 for solutions of a general class of higher-order heat-type equations.
Infinite Dimensional Oscillatory Integrals with Polynomial Phase and Applications to Higher-Order Heat-Type Equations / Mazzucchi, Sonia. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 2018/49:(2018), pp. 209-223. [10.1007/s11118-017-9653-7]
Infinite Dimensional Oscillatory Integrals with Polynomial Phase and Applications to Higher-Order Heat-Type Equations
Mazzucchi, Sonia
2018-01-01
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 for solutions of a general class of higher-order heat-type equations.File in questo prodotto:
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