4 citations · 6 across the 11 of their papers we have counts for
4 papers · 1 filter
-Linear Calculus over Function Fields
Anatoly N. Kochubei
We define analogues of higher derivatives for -linear functions over the field of formal Laurent series with coefficients in . This results in a formula for Taylor coeffi…
Fractional Differentiation Operator over an Infinite Extension of a Local Field
Anatoly N. Kochubei
We study a fractional differentiation operator for functions on the conjugate space to an infinite extension of a local field of zero characteristic which is a union of an increasi…
Analysis and Probability over Infinite Extensions of a Local Field
Anatoly N. Kochubei
We consider an infinite extension of a local field of zero characteristic which is a union of an increasing sequence of finite extensions. is equipped with an inductive lim…
Limit Theorems for Sums of p-Adic Random Variables
Anatoly N. Kochubei
We study p-adic counterparts of stable distributions, that is limit distributions for sequences of normalized sums of independent identically distributed p-adic-valued random varia…