Invariant decomposition of functions with respect to commuting invertible transformations

DOI10.1090/S0002-9939-07-09267-2zbMath1135.39011arXivmath/0703382OpenAlexW2041523120MaRDI QIDQ5441174

Bálint Farkas, Tamás Keleti, Viktor Harangi, Szilárd Gy. Révész

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703382

zbMATH Keywords

Abelian groupsdifference operatordifference equationshift operatorperiodic functionsperiodic decompositioninteger-valued functionsdecomposition propertycommuting transformationstranformation invariant functions

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items

A note on the periodic decomposition problem for semigroups ⋮ Discontinuous additive functions: regular behavior vs. pathological features ⋮ On periodic decomposition of entire functions of several variables ⋮ Periodic decomposition of measurable integer valued functions ⋮ The Periodic Decomposition Problem

Cites Work

• Periodic decomposition of integer valued functions
• Decompositions into the sum of periodic functions belonging to a given Banach space
• Note on decomposition of bounded functions into the sum of periodic terms
• On the differences and sums of periodic measurable functions
• Difference functions of periodic measurable functions
• Periodic decompositions of continuous functions
• Decomposition as the sum of invariant functions with respect to commuting transformations
• Periodic decomposition of measurable integer valued functions
• Additions to the periodic decomposition theorem
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