Quasi-invariant and pseudo-differentiable measures on a non-Archimedean Banach space. II. Measures with values in non-Archimedean fields
| dc.creator | Ludkovsky, Sergey V. | |
| dc.date | 2001-06-20 | |
| dc.date.accessioned | 2026-07-07T04:42:14Z | |
| dc.date.available | 2026-07-07T04:42:14Z | |
| dc.description | Quasi-invariant and pseudo-differentiable measures on a Banach space $X$ over a non-Archimedean locally compact infinite field with a non-trivial valuation are defined and constructed. Measures are considered with values in non-Archimedean fields, for example, the field $\bf Q_p$ of $p$- adic numbers. Theorems and criteria are formulated and proved about quasi-invariance and pseudo-differentiability of measures relative to linear and non-linear operators on $X$. Characteristic functionals of measures are studied. Moreover, the non-Archimedean analogs of the Bochner-Kolmogorov and Minlos-Sazonov theorems are investigated. Infinite products of measures are considered and the analog of the Kakutani theorem is proved. Convergence of quasi-invariant and pseudo-differentiable measures in the corresponding spaces of measures is investigated. | |
| dc.description | Latex, earlier version: ICTP preprint IC/96/210 | |
| dc.identifier | https://arxiv.org/abs/math/0106170 | |
| dc.identifier | http://arxiv.org/abs/math/0106170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61696 | |
| dc.subject | General Mathematics | |
| dc.title | Quasi-invariant and pseudo-differentiable measures on a non-Archimedean Banach space. II. Measures with values in non-Archimedean fields | |
| dc.type | text |