Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields

作者：Zuniga Galindo W A^*

来源：Journal of Fourier Analysis and Applications, 2017, 23(2): 288-323.

DOI：10.1007/s00041-016-9470-1

• Stochastic equations
• Quantum field theories
• Random fields
• White noise calculus
• Levy noise
• p-Adic numbers
• Non-Archimedean functional analysis

We construct p-adic Euclidean random fields Phi over Q(P)(N), for arbitrary N, these fields are solutions of p-adic stochastic pseudodifferential equations. From a mathematical perspective, the Euclidean fields are generalized stochastic processes parametrized by functions belonging to a nuclear countably Hilbert space, these spaces are introduced in this article, in addition, the Euclidean fields are invariant under the action of certain group of transformations. We also study the Schwinger functions of Phi.

• 出版日期2017-4