Abstract:Let K be a complete and non archimedean valued field, extension of ℚ p , the field of p-adic numbers and let q ∈ K be such that |q − 1| <1. Let Z q and ∇ q be the continuous linear operators defined o...Let K be a complete and non archimedean valued field, extension of ℚ p , the field of p-adic numbers and let q ∈ K be such that |q − 1| <1. Let Z q and ∇ q be the continuous linear operators defined on the space of continuous functions f, from ℤ p into K, by setting Z q (f)(x) = q x f(x) and . The algebra generated by Z q and ∇ q is isomorphic to the quantum Weyl algebra generated by two variables. The aim of this paper is to study this algebra as an algebra of p-adic continuous linear operators, when q is not a root of unity. Our main result is that we could exhibit an interesting orthogonal family for it.Read More
Publication Year: 2010
Publication Date: 2010-06-14
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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