Analysis and Probability over Infinite Extensions of a Local Field, II: A Multiplicative Theory
Anatoly N. Kochubei
Abstract
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 Lévy process. Part I: Potential Anal., 10 (1999), 305-325.
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