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Publication:4016609
zbMath0773.47039MaRDI QIDQ4016609
Publication date: 16 January 1993
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translation operatorring of \(p\)-adic integersfield of \(p\)-adic numberslinear continuous operatorsspace of all continuous functionsnon-Archimedean nontrivially valued complete field with valuationuniformly convergent expansion of an arbitrary continuous function
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)
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Some new bases for \(p\)-adic continuous functions ⋮ The \(p\)-adic \(z\)-transform ⋮ The construction of normal bases for the space of continuous functions on \(V_ q\), with the aid of operators ⋮ Non-archimedean umbral calculus ⋮ Orthonormal \(q\)-bases associated to some continuous linear operators on \(\mathcal C(\mathbb Z_p, K)\) ⋮ Umbral calculus in positive characteristic ⋮ Continuous linear endomorphisms and difference equations over the completion of \(\mathbb{F}_q[T\)]
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