Analysis and Prbability over Infinite Extensions of a Local Field
Analysis and Prbability over Infinite Extensions of a Local Field
复制标题
局部域无限扩展的分析和概率
DOI：
10.1023/a:1008643901709
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发表时间：
1998
影响因子：
1.1
通讯作者：
A. Kochubei
中科院分区：
文献类型：
--
作者：
A. Kochubei
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 K; is a completion of K with respect to a topology given by certain explicitly written semi-norms. We construct and study a Gaussian measure, a Fourier transform, a fractional differentiation operator and a cadlag Markov process on K. If we deal with Galois extensions then all these objects are Galois-invariant.
