Some functional equations in the spaces of generalized functions

DOI10.1007/s00010-003-2657-yzbMath1035.39015OpenAlexW2040110406MaRDI QIDQ1413623

Shinyoung Lee, Jae-Young Chung

Publication date: 17 November 2003

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-003-2657-y

zbMATH Keywords

distributionsfunctional equationstempered distributionsquadratic functional equationSchwartz distributionsgeneralized functionstensor producthyperfunctionsPexider functional equationCauchy functional equationJensen functional equationFourier hyperfunctionsHeat kernelGauss transformsD'Alembert functional equationnonhomogeneous additive functional equationSato hyperfunctions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (13)

The stability of Cauchy equations in the space of Schwartz distributions ⋮ Approximately additive Schwartz distributions ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Stability of quadratic functional equations in tempered distributions ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ Stability of quadratic functional equations in generalized functions ⋮ Stability of functional equations in the spaces of distributions and hyperfunctions. ⋮ Stability in generalized functions ⋮ Stability of a quadratic functional equation in the spaces of generalized functions ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions ⋮ Stability of Jensen equations in the space of generalized functions ⋮ Stability of quartic functional equations in the spaces of generalized functions

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