Generating sets of Galois equivariant Krasner analytic functions

V. Alexandru, M. Vajaitu, A. Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Given a prime number p and x an element of the Tate field Cp, the main goal of the present paper is to provide an explicit generating set, which is given by the trace function of x and all its derivatives, for the Cp-Banach algebra of the Galois equivariant Krasner analytic functions defined on the complement in P1.Cp/ of the orbit of x with values in Cp.

Original languageEnglish (US)
Pages (from-to)195-208
Number of pages14
JournalRendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume141
DOIs
StatePublished - 2019

Keywords

  • Generating sets
  • Krasner analytic functions
  • generating degree
  • trace functions

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics
  • Geometry and Topology

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