Analysis and Probability over Infinite Extensions of a Local Field
| dc.creator | Kochubei, Anatoly N. | |
| dc.date | 1998-07-13 | |
| dc.date.accessioned | 2026-07-07T05:25:22Z | |
| dc.date.available | 2026-07-07T05:25:22Z | |
| dc.description | We consider an infinite extension $K$ of a local field of zero characteristic which is a union of an increasing sequence of finite extensions. $K$ is equipped with an inductive limit topology; its conjugate $\bar{K}$ is a completion of $K$ with respect to a topology given by certain explicitly written seminorms. We construct and study a Gaussian measure, a Fourier transform, a fractional differentiation operator and a cadlag Markov process on $\bar{K}$. If we deal with Galois extensions then all these objects are Galois-invariant. | |
| dc.description | 24 pages, LaTex; to appear in Potential Analysis | |
| dc.identifier | https://arxiv.org/abs/math/9807062 | |
| dc.identifier | http://arxiv.org/abs/math/9807062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77152 | |
| dc.subject | Functional Analysis | |
| dc.subject | Number Theory | |
| dc.subject | Probability | |
| dc.title | Analysis and Probability over Infinite Extensions of a Local Field | |
| dc.type | text |