Beurling's analyticity theorem for quantum differences

DOI10.1007/S00229-008-0213-8zbMath1182.26075OpenAlexW1983553826MaRDI QIDQ1003136

Tord Sjödin

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0213-8

zbMATH Keywords

\(q\)-differencesreal-analytic functions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Difference equations, scaling ((q)-differences) (39A13) Functions of bounded variation, generalizations (26A45) Real-analytic functions (26E05)

Cites Work

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• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Beurling's analyticity theorem
• Bernstein's analyticity theorem for binary differences
• On analytic extension of semigroups of operators
• On the n th Quantum Derivative
• Bernstein’s analyticity theorem for quantum differences
• A quasi-Analyticity Condition in Terms of Finite Differences
• On the Regularity of Generalized Convex Functions
• Quantum calculus

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