English

Analysis and Probability over Infinite Extensions of a Local Field, II: A Multiplicative Theory

Number Theory 2007-05-23 v1 Probability

Abstract

Let VV be a projective limit, with respect to the renormalized norm mappings, of the groups of principal units corresponding to a strictly increasing sequence of finite separable totally and tamely ramified Galois extensions of a local field. We study the structure of the dual group VV', introduce and investigate a fractional differentiation operator on VV, and the corresponding L\'evy process. Part I: Potential Anal., 10 (1999), 305-325.

Keywords

Cite

@article{arxiv.math/0202145,
  title  = {Analysis and Probability over Infinite Extensions of a Local Field, II: A Multiplicative Theory},
  author = {Anatoly N. Kochubei},
  journal= {arXiv preprint arXiv:math/0202145},
  year   = {2007}
}

Comments

11 pages, LaTex