References
J. Aczél, H. Haruki, M. A. McKiernan andG. N. Sakovič, General and regular solutions of functional equations characterizing harmonic polynomials,Aequationes Math.,1 (1968), 37–53.
M. A. McKiernan, Boundedness on a set of positive measure and the mean value property characterizes polynomials on a spaceV n,Aequationes Math.,4 (1970), 31–36.
H. Światak, On the regularity of the distributional and continuous solutions of the functional equations\(\sum\limits_{i = 1}^k {a_i (x,t)} f(x + \varphi _i (t)) = b(x,t)\),Aequationes Math.,1 (1968), 6–19.
H. Światak, On the regularity of the locally integrable solutions of the functional equations\(\sum\limits_{i = 1}^k {a_i (x,t)} f(x + \varphi _i (t)) = b(x,t)\),Aequationes Math.,4 (1970), 291–296.
H. Światak, Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations,Aequationes Math.,6(2/3) (1971), 170–187.
H. Światak, On certain regularity problems for solutions of functional equations,Bull. Acad. Polon. Sci.,19(3) (1971), 209–212.
H. Światak, The regularity of the locally integrable and continuous solutions of non-linear functional equations, to appear.
H. Światak, On the regularity of the continuous and locally integrable solutions of a class of functional equations,Aequationes Math.,4 (1970), Reports of Meetings, 233.
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Światak, H. Existence and regularity problems for nonlinear functional equations. Acta Mathematica Academiae Scientiarum Hungaricae 30, 21–31 (1977). https://doi.org/10.1007/BF01895646
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DOI: https://doi.org/10.1007/BF01895646