Shift operators and two applications to \(\mathbb{F}_q[[T]]\)
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Publication:2017207
DOI10.1016/j.jnt.2013.12.004zbMath1297.11147OpenAlexW124565306MaRDI QIDQ2017207
Publication date: 25 June 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2013.12.004
Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other nonanalytic theory (11S85) Dynamical systems over non-Archimedean local ground fields (37P20)
Related Items (7)
Measure-preservation criteria for 1-Lipschitz functions on \(\mathbb F_{q}T\) in terms of the three bases of Carlitz polynomials, digit derivatives, and digit shifts ⋮ A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\) ⋮ Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_qT\) in terms of the van der Put basis and its applications ⋮ Measure-preservation criteria for a certain class of 1-Lipschitz functions on \(\mathbb Z_p\) in Mahler's expansion ⋮ Characterization of the ergodicity of 1-Lipschitz functions on \(\mathbb{Z}_2\) using the \(q\)-Mahler basis ⋮ Two generalized \(abc\) theorems for \(\mathbb F_q[t\)] ⋮ \(p\)-adic (3, 2)-rational dynamical systems
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