THE STABILITY OF THE SINE AND COSINE FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS

DOI10.4134/BKMS.2009.46.1.087zbMath1175.39015OpenAlexW2063410679MaRDI QIDQ3633705

Jeongwook Chang, Jae-Young Chung

Publication date: 23 June 2009

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2009.46.1.087

zbMATH Keywords

Hyers-Ulam stabilitySchwartz distributionsgeneralized functionstrigonometric functional equationsFourier hyperfunctionsGelfand generalized functions

Mathematics Subject Classification ID

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) Dual, triple, etc., integral and series equations (45F10)

Related Items (3)

Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Ulam problem for the sine addition formula in hyperfunctions ⋮ A functional equation of Aczél and Chung in generalized functions

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