Ulam problem for the cosine addition formula in Sato hyperfunctions
DOI10.1155/2015/615167zbMath1309.39014OpenAlexW2029424366WikidataQ59112861 ScholiaQ59112861MaRDI QIDQ2256694
Soon-Yeong Chung, Jae-Young Chung
Publication date: 20 February 2015
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/615167
Hyers-Ulam stabilitySchwartz distributionscosine functional equationUlam problemSato hyperfunctionscosine addition formula
Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82) Hyperfunctions, analytic functionals (46F15) Functional equations for functions with more general domains and/or ranges (39B52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability of trigonometric functional equations in distributions and hyperfunctions
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Stability of exponential equations in Schwartz distributions
- Stability of trigonometric functional equations in generalized functions
- A functional equation of Aczél and Chung in generalized functions
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- On a functional equation of Aczél and Chung
- A characterization for Fourier hyperfunctions
- On the stability of functional equations in Banach spaces
- Hyers-Ulam stability of functional equations in several variables
- Ulam problem for the sine addition formula in hyperfunctions
- On the stability of the linear transformation in Banach spaces
- THE STABILITY OF THE SINE AND COSINE FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS
- Functional Equations, Tempered Distributions and Fourier Transforms
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- A Calculus Approach to Hyperfunctions. II
- Periodic hyperfunctions and Fourier series
- The Stability of the Sine and Cosine Functional Equations
- Multiplicative Transpormations
- Classes of transformations and bordering transformations
- Distributional methods for functional equations
This page was built for publication: Ulam problem for the cosine addition formula in Sato hyperfunctions