A simple proof of Mahler's theorem on approximation of continuous functions of a p-adic variable by polynomials

DOI10.1016/0022-314X(74)90038-9zbMath0298.12006MaRDI QIDQ1214458

Ranko Bojanic

Publication date: 1974

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

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Approximation by polynomials (41A10) Approximation in non-Archimedean valuations (11J61)

Related Items

The Weierstrass-Stone theorem in absolute valued division rings, Decompletion of cyclotomic perfectoid fields in positive characteristic, On an approximation theorem of Walsh in the p-adic field, Approximation of continuous functions in p-adic analysis, A \(q\)-analogue of Mahler expansions. I

Cites Work

• A correction to the paper An Interpolation Series for continuous functions of a p-adic variable.
• Unnamed Item
• Unnamed Item