Representation results for equivariant rigid analytic functions

V. Alexandru; N. Popescu; M. Vâjâitu; A. Zaharescu

doi:10.1007/s10468-010-9236-4

Representation results for equivariant rigid analytic functions

V. Alexandru
, N. Popescu
, M. Vâjâitu
, A. Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a prime number p and the Galois orbit O(x) of an element x of ℂ _p, the topological completion of the algebraic closure of the field of p-adic numbers, we are interested in the representation results for equivariant rigid analytic functions defined on ℙ¹(ℂ _p)\O(x) with values in ℂ_p that vanishes at ∞.

Original language	English (US)
Pages (from-to)	137-145
Number of pages	9
Journal	Algebras and Representation Theory
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s10468-010-9236-4
State	Published - Feb 2012

Keywords

Distributions
Local fields
Rigid analytic functions

ASJC Scopus subject areas

General Mathematics

Online availability

10.1007/s10468-010-9236-4

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abstract = "Given a prime number p and the Galois orbit O(x) of an element x of ℂ p, the topological completion of the algebraic closure of the field of p-adic numbers, we are interested in the representation results for equivariant rigid analytic functions defined on ℙ1(ℂ p)\textbackslash{}O(x) with values in ℂp that vanishes at ∞.",

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AU - Popescu, N.

AU - Vâjâitu, M.

AU - Zaharescu, A.

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N2 - Given a prime number p and the Galois orbit O(x) of an element x of ℂ p, the topological completion of the algebraic closure of the field of p-adic numbers, we are interested in the representation results for equivariant rigid analytic functions defined on ℙ1(ℂ p)\O(x) with values in ℂp that vanishes at ∞.

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KW - Distributions

KW - Local fields

KW - Rigid analytic functions

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Representation results for equivariant rigid analytic functions

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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