Geodesic
A Note on a Square Type Functional Equation
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 443-445

Voir la notice de l'article provenant de la source Cambridge University Press

The following square functional equation (1) was considered (for example [l]-[9]) previously. 
Haruki, Shigeru. A Note on a Square Type Functional Equation. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 443-445. doi: 10.4153/CMB-1973-072-7
@article{10_4153_CMB_1973_072_7,
     author = {Haruki, Shigeru},
     title = {A {Note} on a {Square} {Type} {Functional} {Equation}},
     journal = {Canadian mathematical bulletin},
     pages = {443--445},
     year = {1973},
     volume = {16},
     number = {3},
     doi = {10.4153/CMB-1973-072-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-072-7/}
}
TY  - JOUR
AU  - Haruki, Shigeru
TI  - A Note on a Square Type Functional Equation
JO  - Canadian mathematical bulletin
PY  - 1973
SP  - 443
EP  - 445
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-072-7/
DO  - 10.4153/CMB-1973-072-7
ID  - 10_4153_CMB_1973_072_7
ER  - 
%0 Journal Article
%A Haruki, Shigeru
%T A Note on a Square Type Functional Equation
%J Canadian mathematical bulletin
%D 1973
%P 443-445
%V 16
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-072-7/
%R 10.4153/CMB-1973-072-7
%F 10_4153_CMB_1973_072_7

[1] 1. McKiernan, M. A., Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space Vn , Aequationes Math. 4 (1970), 31-36. Google Scholar

[2] 2. McKiernan, M. A., On Haruki's functional equation, Aequationes Math. 1 (1968), p. 143. Google Scholar

[3] 3. McKiernan, M. A., Difference and mean value type functional equations, C.I.M.E., Roma, (1971), 259-286. Google Scholar

[4] 4. Aczél, J., Haruki, H., McKiernan, M. A., and Sakovic, G. N., General and regular solutions of functional equations characterizing harmonic polynomials, Aequationes Math. 1 (1968), 37-53. Google Scholar

[5] 5. Šwiatak, H., On the regularity of the distributional and continuous solutions of the functional equations , Aequationes Math. 1 (1968), 6-19. Google Scholar

[6] 6. Šwiatak, H., A generalization of the Haruki functional equation, Ann. Polon. Math. 22 (1970), 370-376. Google Scholar

[7] 7. Šwiatak, H., On some applications of the theory of distributions in functional equations, Prace Mat. 14 (1970), 35-36. Google Scholar

[8] 8. Haruki, H., On a relation between the "square" functional equation and the "square" meanvalue property, Canad. Math. Bull. (2) 14 (1971), 161-165. Google Scholar

[9] 9. Haruki, H., On an application of the "square" functional equation to a geometric characterization of quadratic functions from the standpoint of conformal-mapping properties, Aequationes Math. 6 (1971), 36-38. Google Scholar

[10] 10. Haruki, S., A note on a Pentomino functional equation, Ann. Polon. Math., (to appear). Google Scholar

Cité par Sources :