On an application of hypoellipticity to solutions of functional equations

DOI10.1007/BF01833282zbMath0852.39004arXivfunct-an/9409002MaRDI QIDQ1916966

Shigeru Haruki, Akira Tsutsumi

Publication date: 1 December 1996

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

Full work available at URL: https://arxiv.org/abs/funct-an/9409002

zbMATH Keywords

distributionsfunctional equationslocally integrablehypoellipticitycontinuousinfinitely often differentiable functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional equations for real functions (39B22) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Continuity and differentiation questions (26B05)

Cites Work

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• Hypoelliptic second order differential equations
• Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations
• The state of the second part of Hilbert’s fifth problem
• The Regularity of the Locally Integrable and Continuous Solutions of Nonlinear Functional Equations

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