References
- [1] Yu. Zelinskii. Convexity. Selected topics, Proceedings of the Institute of mathematics NAS Ukraine.-v.92.- Kyiv, 2012. - 280 pp. (in Russian).
- [2] L.A. Santalo, Integral Geometry and Geometric Probability (Vol.1 of Encyclopedia of Mathematics and its Applications, G.-C. Rota, Editor), Addison-Wesley Publishing Company, Massachusetts, 1976.
- [3] G.á. Mkrtchyan, On strong hypercomplex convexity, Ukrainian Mathematical Journal, 1990.- 42, N 2.- p. 182-187. (in Russian).
- [4] H. Behnke, E. Peschl, Zur Theorie der Funktionen mehrerer komplexer Veränderlichen Konvexität in bezug auf analytische Ebenen im kleinen und groβen, Math. Ann, 1935, Bd. 111, N 2. - S, 158-177.@@[5] A. Martineau, Sur la topologie des espaces de fonctions holomorphes, Math. Ann, 1966, Bd. 163, N 1, S. 62-88.
- [6] L.A. Aizenberg, The expansion of holomorphic functions of several complex variables in partial fractions, Siberian Mathematical Journal, 1967, v.8, 5, p. 1124-1142. (in Russian).
- [7] Yuri Zelinskii, Multivalued mappings in the analysis, Naukova dumka, Kyiv, 1993, 264 p. (in Russian).
- [8] L. Hörmander, Notions of Convexity, Birkhäauser Verlag, Boston, 1994, second ed. 2007, 414 p.
- [9] M. Andersson, M. Passare, R. Sigurdsson,Complex convexity and analytic functionals, Birkhäuser Verlag, Basel, 2004, 160 p.
- [10] S.V. Znamenskii, Seven problems of C-convexity, Complex analysis in modern mathematics: To the 80th anniversary of the birth Shabat B.V. (Editor E. Chirka), FAZYS, Moscow, 2001, p. 123-132. (in Russian).
- [11] R.D. Mauldin, The Scottish Book, Birkhäuser Verlag, Boston, 1981.
- [12] A. Kosiński, A theorem on families of acyclic sets and its applications, Pacific J. Math. - 12,1962, p.317-325.
- [13] Luis Montejano, About a problem of Ulam concerning flat sections of manifolds, Comment. Math. Helvetici, 1990, 65,p.462-473.
- [14] Georg Aumann, On a Topological Characterization of Compact Convex Point Sets, The Annals of Mathematics, 2nd Ser., Vol.37, No. 2 (Apr., 1936), p. 443-447.
- [15] E. Shchepin, A Criterion of convexity of a open set (in Russian), III Tiraspol Symposium on General Topology.- Shtiintsa, Chisinau, 1973, p.149.
- [16] A.S. Besicovitch, A problem on a Circle, J. London Math. Soc.,1961 - 36, p.241-244.
- [17] L.W. Danzer, A Characterization of the Circle, Amer. Math. Soc, Providence, R.I. Convexity, Proc. Symposia in Pure Math., 1963. - vol. VII,p. 99-100.
- [18] Tudor Zamfirescu, An infinitesymal version of the Besicovitch - Danzer Characterization of the Circle, Geometriae Dedicata. - 1988 - 27, p. 209-212.
- [19] M. Tkachuk, Characterization of the Circle of the type Besikovitch-Danzer, Transaction of the Institute of mathematics NAS Ukraine,2006. v.3, N 4., p.366-373. (in Ukrainian).
- [20] Yu.B. Zelinskii, M.V. Tkachuk, B.A. Klishchuk, Integral geometry and Mizel's problem, Arxiv preprint arXiv: 1204.6287v1 [math.CV].
- [21] Yu. Zelinskii, I. Vyhovska, M. Tkachuk, On some criteria of convexity for compact sets, Ukrainian Mathematical Journal, 2011, v.63, 4.- p. 466-471 (in Ukrainian).
- [22] G.á. Mkrtchyan, On properties of hypercomplex convex sets, Messenger of Russian Armenian University -2012, v.2, p.20-25 (in Russian).
- [23] T.M. Osipchuk, Analytic conditions of the linear convexity in Hn, Complex analysis and flow with free boundaries / Transactions of the Institute of mathematics NAS Ukraine. - Kyiv: Institute of mathematics NAS Ukraine, 2006. - v.3, 4. - p. 244-254 (in Ukrainian).
- [24] Yu.B. Zelinskii, M.V. Tkachuk, B.A. Klishchuk, Integral geometry and Mizel's problem, Bulletin de la societé des sci. et letters de Lódź, v.63. 1.,2013, p.20-29.
- [25] L. Bazylevych, Topology of hyperspace of convex sets of constant width, Mathem. Notes.,1997,62, 6., p. 813-819. (in Russian)