Stability of approximately quadratic Schwartz distributions

DOI10.1016/j.na.2006.05.005zbMath1116.39017OpenAlexW2027798872MaRDI QIDQ880292

Jae-Young Chung

Publication date: 15 May 2007

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.2006.05.005

zbMATH Keywords

heat kernelquadratic functional equationUlam problemGauss transforms

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 (9)

Stability for quadratic functional equation in the spaces of generalized functions ⋮ Stability of quadratic functional equations in tempered distributions ⋮ Stability of functional equations on restricted domains in a group and their asymptotic behaviors ⋮ Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ Ulam problem for the sine addition formula in hyperfunctions ⋮ A functional equation of Aczél and Chung in generalized functions ⋮ Stability of a logarithmic functional equation in distributions on a restricted domain ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions
• 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
• A distributional version of functional equations and their stabilities
• A calculus approach to hyperfunctions III
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• Remarks on the stability of functional equations
• Distributional methods for functional equations
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: Stability of approximately quadratic Schwartz distributions