Generalized sine equations, II

Pavlos Sinopoulos

doi:10.1007/bf01827933

journal article Feb 01, 1995

Generalized sine equations, II

Pavlos Sinopoulos

Aequationes mathematicae Vol. 49 No. 1 pp. 122-152 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01827933

Topics

No keywords indexed for this article. Browse by subject →

References

15

[1]

Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York, 1966.

[2]

Aczél, J., Chung, J. K. andNg, C. T.,Symmetric second differences in product form on groups. InTopics in mathematical analysis (edited by Th. M. Rassias). World Scientific Publ., Singapore, 1989, pp. 1–22. 10.1142/9789814434201_0001

[3]

Aczél, J. andDhombres, J.,Functional equations in several variables. Cambridge Univ. Press, Cambridge, 1989. 10.1017/cbo9781139086578

[4]

Baker, J. A.,On the functional equation f(x)g(y) = Π l = 1 n h l (a i x + b i y). Aequationes Math.11 (1974), 154–162. 10.1007/bf01834912

[5]

Jordan, P. andvon Neumann, J.,On inner products in linear metric spaces. Ann. Math.36 (1935), 719–723. 10.2307/1968653

[6]

Kannappan, Pl.,The functional equation f(xy) + f(xy −1 = 2f(x)f(y) for groups. Proc. Amer. Math. Soc.29 (1968), 69–74.

[7]

Lang, S.,Algebra, Second edition. Addison-Wesley, Reading, MA, 1984.

[8]

Perelli, A. andZannier, U.,Su un'equazione funzionale legata agli omomorfismi di un gruppo in un corpo. Boll. Un. Mat. Ital. B (6)5-B (1986), 235–245.

[9]

Reich, L. andSchwaiger J.,On polynomials in additive and multiplicative functions. InFunctional equations: history, applications and theory (edited by J. Aczél). Reidel, Dordrecht, 1984, pp. 127–160. 10.1007/978-94-009-6320-7_12

[10]

Rukhin, A. L.,The solution of the functional equation of d'Alembert's type for commutative groups. Internat. J. Math. Math. Sci.5 (1982), 315–335. 10.1155/s0161171282000301

[11]

Sinopoulos, P.,A new generalization of sine and cosine functional equations. Bull. Greek Math. Soc.28 (1987), part B, 43–49.

[12]

Sinopoulos, P.,Generalized sine equations, I. Aequationes Math.48 (1994), 171–193. 10.1007/bf01832984

[13]

Székelyhidi, L.,Regularity properties of exponential polynomials on groups. Acta Math. Hungar.45 (1985), 21–26. 10.1007/bf01955018

[14]

Vincze, E.,Eine allgemeinere Methode in der Theorie der Funktionalgleichungen, III. Publ. Math. Debrecen10 (1963), 191–202. 10.5486/pmd.1963.10.1-4.25

[15]

Vincze, E.,Über ein Funktionalgleichungsproblem von I. Olkin und dessen Verallgemeinerungen. Publ. Techn. Univ. Heavy Industry (Miskolc) Ser. D33 (1978), 113–124.

Metrics

2

Citations

15

References

Details

Published: Feb 01, 1995
Vol/Issue: 49(1)
Pages: 122-152
License: View

Authors

P

Pavlos Sinopoulos

Cite This Article

Pavlos Sinopoulos (1995). Generalized sine equations, II. Aequationes mathematicae, 49(1), 122-152. https://doi.org/10.1007/bf01827933

Generalized sine equations, II

You May Also Like