Difference operators, distributions and functional equations
From MaRDI portal
Publication:1192291
DOI10.1007/BF02278031zbMath0756.39007MaRDI QIDQ1192291
Publication date: 27 September 1992
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
distributionsdistributional solutionsdistributional derivativescosine equationdistributional methodlocally Lebesgue integrable solutionsmean value functional equationreduction to differential equations
Operations with distributions and generalized functions (46F10) Functional equations for real functions (39B22) Functional inequalities, including subadditivity, convexity, etc. (39B62) Difference operators (39A70)
Related Items (2)
Functional equations and Weierstrass transforms ⋮ Regularization and general methods in the theory of functional equations
Cites Work
- Unnamed Item
- Unnamed Item
- On regular solutions of functional equations
- General and regular solutions of functional equations characterizing harmonic polynomials
- On the regularity of the distributional and continuous solutions of the functional equations
- Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
- Une remarque sur les équations fonctionnelles
- A General Functional Equation
- Functions Satisfying the Mean Value Property
- A Note On the Mean Value Property
- A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.
- Functional Equations, Tempered Distributions and Fourier Transforms
- The state of the second part of Hilbert’s fifth problem
- Über eine Lösungsmethode gewisser Funktionalgleichungen
- A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
- Grundlegende Eigenschaften der polynomischen Operationen. Erste Mitteilung
- A mean value theorem for polynomials and harmonic polynomials
- Regularity properties of functional equations
This page was built for publication: Difference operators, distributions and functional equations