\(C^n\)-functions over completions of \(\mathbb F_r[T]\) at finite places of \(\mathbb F_r(T)\)

DOI10.1016/j.jnt.2004.05.007zbMath1117.11063OpenAlexW2029975321MaRDI QIDQ1773335

Zifeng Yang

Publication date: 28 April 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.05.007

zbMATH Keywords

orthonormal basis\(C^n\)-functionsFunction field arithmetic

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58)

Related Items (8)

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 ⋮ Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_qT\) in terms of the van der Put basis and its applications ⋮ Ergodic theory over \(\mathbb F_2 T\) ⋮ On the characteristic \(p\) valued measure associated to Drinfeld discriminant ⋮ Characterization of the ergodicity of 1-Lipschitz functions on \(\mathbb{Z}_2\) using the \(q\)-Mahler basis ⋮ Shift operators and two applications to \(\mathbb{F}_qT\) ⋮ Unnamed Item ⋮ Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series

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