The Twenty-seventh International Symposium on Functional Equations, August 14–24, 1989, Bielsko-BiałKatowice—Kraków, Poland

Amaducci, T. andCannizzo, A.,Soluzioni integrali dell'equazione funzionale t(y + 1) = f(y)t(y), Boll. Un. Mat. Ital. (6)5-A (1986), 39–45. Cannizzo A.,Extension theorems for integral representations of solutions of a functional equation, to appear in Elem. Math.45 (1990). Busemann H.,The geometry of geodesics, Academic Press, New York, 1955. Ger J.,Convex functions in metric spaces, Rad. Mat.2 (1986), 217–236. Kucharzewski, M.,Über Eigenschaften gewisser Untermengen der Kleinschen Räume, Ann. Math. Sil. (in Druck). Aczél, J.,A mean value property of the derwative of quadratic polynomials — without mean values and derivatives, Math. Mag.58 (1985), 42–44. Lipski, W. andMarek, W.,Analiza kombinatoryczna, PWN, Warszawa 1971. C. Stéphanos,Sur une catégorie d'équations fonctionnelles, Rend. Circ. Mat. Palermo18 (1904), 360–362. F. Neuman,Functions of two variables and matrices involving factorizations. C.R. Math. Rep. Acad. Sci. Canada3 (1981), 7–11. F. Neuman,Factorizations of matrices and functions of two variables, Czechoslovak Math. J.32 (1982), 582–588. F. Neuman, Functions of the form\(\sum _{i = 1}^N f_1 (x)g_i (t)\) L2, Arch. Math. (Brno)18 (1982), 19–22. Th. M. Rassias,A criterion for a function to be represented as a sum of products of factors, Bull. Inst. Math. Acad. Sinica14 (1986), 337–382. H. Gauchman andL. A. Rubel,Sums of products of functions of x times functions of y, Linear Algebra Appl.125 (1989), 19–63. Th. M. Rassias,Problem P 286, Aequationes Math.38 (1989), 111. F. Neuman,Finite sums of products of functions in single variables, to appear in Linear Algebra Appl. M. Čadek andJ. Šimša,Decomposable functions of several variables, to appear in Aequationes Math. M. Čadek andJ. Šimša,Decomposition of smooth functions of two multidimensional variables, to appear. [1]D. H. Hyers,On the stability of the linear functional equation, Proc. Nat. Acad. Sci. USA,27 (1941), 222–224. [2]Th. M. Rassias,On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72 (1978), 297–300. [3]Th. M. Rassias,The stability of linear mappings and some problems on isometries, in: Mathematical analysis and its applications, Pergamon Press, Oxford 1988, pp. 175–184. [4]Th. M. Rassias (ed.),Topics in mathematical analysis, World Sci. Publ., Singapore, 1989. Th. M. Rassias,On a modified Hyers — Ulam sequence, to appear. [1]Rätz, J.,New results on orthogonally additive mappings, I. Report of meeting, Aequationes Math.37 (1989), 82. [2]Rätz, J. andSzabó, Gy.,On orthogonally additive mappings, IV, Aequationes Math.38 (1989), 73–85 [3]Szabó, Gy.,New results on orthogonally additive mappings, II. Report of meeting, Aequationes Math.37 (1989), 89. [1]J. Rätz andGy. Szabó,On orthogonally additive mappings, IV. Aequations Math.38 (1989), 73–85. [2]K. Sundaresan andO. P. Kapoor,T-orthogonality and nonlinear functionals on topological vector spaces. Can. J. Math.25 (1973), 1121–1131. [1]Gy. Szabó,Some functional equations related to quadratic functions, Glasnik Mat.18 (1983), 107–118. [2]Gy. Szabó,Functional equations on restricted domains. Report of Meeting —25th ISFE, Hamburg—Rissen, Germany. Aequationes Math.35 (1988), 105–106. M. Hmissi,Sur l'équation fonctionnelle des cocycles d'un système semi-dynamique, en préparation. [2]Z. Moszner,Structure de l'automate plenin, réduit et inversible, Aequationes Math.9 (1973), 46–59. [3]K. S. Sibirsky,Introduction to topological dynamics, Noordhoff, Leiden, 1975.