Some functional equations connected with quadratic forms

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  • I. Corovei Polytechnic Institute, Cluj-Napoca, Romania
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References

J. Aczél, The general solution of two functional equaitons by reduction to functions additive in two variables and with the aid of Hamel bases. Glasnik Mat. Fiz. Astr., 20(1965), 1-2, pp. 65-71.

I. Corovei, On some functional equations for the homomorphisms. Bul. Ştiinţf. Inst. Pol. Cluj-Napoca, Nr. 22, 1979, pp. 14-19.[3] I. Corovei, Ecuaţia funcţională f(xy)+f(xy⁻¹)=2f(x)+2f(y) pe grupuri. Inst. Ştiinţ. Tehnică-matematică VIII Sibiu, 1980, pp. 10-14.

T. M. K. Davison, Restricted homogeneity implies bi-edditivity, ann Polonici Math., XLVIII, 1988, pp. 121-125, https://doi.org/10.4064/ap-48-2-121-125

M. Hosszu, M. Csikos, Normenquadrat über gruppan. Symposium en quasigroupes et equations functionnelles. Beograd-Novi-Sad 9, (1974), pp. 18-21.

N. Jacobson, Basic algebra I.W.H. Freeman, San Francisco, 1974.

P. Jordan, and von Neumann, J., On inner products in linear metric space, Ann. of Math. 36(1935), pp. 719-723, https://doi.org/10.2307/1968653

S. Kurepa, On the definition of quadratic form. Publ. de l'Inst. Math. 42 (56) (1987), pp. 35-41.

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Published

1990-08-01

How to Cite

Corovei, I. (1990). Some functional equations connected with quadratic forms. Anal. Numér. Théor. Approx., 19(2), 123–127. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1990-vol19-no2-art4

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