### Analysis and Probability over Infinite Extensions of a Local Field, II A Multiplicative Theory, by Anatoly N. Kochubei

Let $V$ 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 $V'$, introduce and investigate a
fractional differentiation operator on $V$, and the corresponding
L\'evy process. Part I: Potential Anal., 10 (1999), 305-325.

Anatoly N. Kochubei <ank@ank.kiev.ua>