Christensen measurability of polynomial functions and convex functions of higher orders

DOI10.4064/ap-47-1-25-40zbMath0616.28006OpenAlexW893705687MaRDI QIDQ4724858

Zbigniew Gajda

Publication date: 1986

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-47-1-25-40

zbMATH Keywords

polynomial functionsChristensen measurabilityAbelian Polish groupJensen convex functionsHaar zero setsconvex functions of higher ordersChristensen measurable homomorphisms

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Functional equations and inequalities (39B99) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (7)

A theorem of Piccard's type and its applications to polynomial functions and convex functions of higher orders ⋮ Christensen measurable solutions of generalized Cauchy functional equations ⋮ Regularization and general methods in the theory of functional equations ⋮ Remarks on Analogies Between Haar Meager Sets and Haar Null Sets ⋮ Unnamed Item ⋮ On the boundedness, Christensen measurability and continuity of \(t\)-Wright convex functions ⋮ On automatic continuity and three problems of ``The Scottish Book concerning the boundedness of polynomial functionals

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