Spaces of functions of class C-r on O-F

作者：De Ieso Marco^*

来源：Indagationes Mathematicae, 2013, 24(3): 530-556.

DOI：10.1016/j.indag.2013.02.006

• p-adic analysis
• Function of class C-r
• Distribution of order r

In this paper we introduce a class of Banach spaces of functions of class C-r (where r is a positive real number) and the associated dual spaces of distributions of order r, which turn out to be useful in p-adic Langlands theory De Ieso (2013) [9]. We construct a Banach basis for these spaces and we give a criterion for telling when a linear form on a space of locally Q(p)-polynomial functions extends to a distribution of order r. This generalises the classical results of Amice-Velu (1975) and Vishik (1976) [1,18].

• 出版日期2013-6-13