Stability of exponential equations in Schwartz distributions

DOI10.1016/J.NA.2007.09.037zbMath1157.39015OpenAlexW2016171417MaRDI QIDQ955656

Jae-Young Chung

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.037

zbMATH Keywords

heat kernelgeneralized functionscosine functional equationsuperstabilityGauss transformexponential functional equationbounded distributionsbounded hyperfunctions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Ulam problem for the sine addition formula in hyperfunctions

Cites Work

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• A characterization for Fourier hyperfunctions
• Stability of functional equations in the spaces of distributions and hyperfunctions.
• On the stability of functional equations in Banach spaces
• The stability of Cauchy equations in the space of Schwartz distributions
• Hyers-Ulam stability of functional equations in several variables
• A distributional version of functional equations and their stabilities
• A calculus approach to hyperfunctions III
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Periodic hyperfunctions and Fourier series
• On the Stability of the Linear Functional Equation

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