This is a preview of subscription content, log in via an institution to check access.
References
J. Aczél,Lectures on functional equations and their applications, Academic Press (New York—London, 1966).
J. Aczél, Some unsolved problems in the theory of functional equations,Archiv der Math.,15 (1964), 435–444.
D. Z. Djokovic, A representation theorem for (X 1−1)(X 2−1)...(X n −1) and its applications,Ann. Polon. Math.,22 (1969), 189–198.
M. Engert, Finite dimensional translation invariant subspaces,Pacific J. Math.,32 (1970), 333–343.
H. Federer,Geometric Measure Theory, Springer Verlag (Berlin—Heidelberg—New York, 1969).
E. Hewitt, K. Ross,Abstract Harmonic Analysis I., Springer Verlag (Berlin—Göttingen—Heidelberg, 1963).
E. Hille, R. S. Philips,Functional Analysis and Semigroups (Providence, 1957).
A. Járai, On measurable solutions of functional equations,Publ. Math. Debrecen,26 (1979), 17–35.
Pl. Kannappan, The functional equationf(xy)+f(xy −1)=2f(x)f(y) for groups,Proc. Amer. Math. Soc.,19 (1968), 69–74.
M. Kuczma, A. Zajtz, Über die multiplikative Cauchysche Funktionalgleichung für Matrizen dritter Ordnung,Arch. Math.,15 (1964), 136–143.
P. G. Laird, On characterizations of exponential polynomials,Pacific J. Math.,80 (1979), 503–507.
M. A. McKiernan, On vanishingn-th ordered differences and Hamel bases,Ann. Polon. Math.,19 (1967), 331–336.
M. A. McKiernan, The matrix equationa(x◯y)=a(x)+a(x)a(y)+a(y),Aequationes Math.,15 (1977), 213–223.
M. A. McKiernan, Equations of the formH(x◯y)=2211; i f i (x)g i(y),Aequationes Math.,16 (1977), 51–58.
L. Székelyhidi, Polynomials on groups (to appear).
L. Székelyhidi, Almost periodic functions and functional equations (to appear).
L. Székelyhidi, Note on exponential polynomials (to appear).
E. Vincze, Eine allgemeinere Methode in der Theorie der Funktionalgleichungen. I, II, III, IV,Publ. Math. Debrecen,9 (1962), 149–163, 314–323,10 (1963), 191–202, 283–318.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Székelyhidi, L. Functional equations on Abelian groups. Acta Mathematica Academiae Scientiarum Hungaricae 37, 235–243 (1981). https://doi.org/10.1007/BF01904885
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01904885