A heat kernel approach to the stability of exponential equation in distributions and hyperfunctions

DOI10.1063/1.3376657zbMath1310.39018OpenAlexW2002557763MaRDI QIDQ5249561

Jae-Young Chung

Publication date: 6 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3376657

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Hyperfunctions, analytic functionals (46F15) Heat kernel (35K08)

Related Items

Heat kernel method for quintic and sextic equations in distributions and hyperfunctions, HEAT KERNEL METHOD FOR THE LEVI-CIVITÁ EQUATION IN DISTRIBUTIONS AND HYPERFUNCTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization for Fourier hyperfunctions
• On the stability of functional equations in Banach spaces
• Hyers-Ulam stability of functional equations in several variables
• Hyers-Ulam stability theorems for Pexider equations in the space of Schwartz distributions
• A distributional version of functional equations and their stabilities
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• 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 Stability of the Linear Mapping in Banach Spaces
• Periodic hyperfunctions and Fourier series
• Stability of functional equations in several variables