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Citation of Some Works of A. B. Kharazishvili CITATION OF SOME WORKS OF A.B. KHARAZISHVILI Remark. The asterisk (*) marks monographs, textbooks, handbooks, surveys, theses, or lecture courses. 1975 G. Nijaradze, Density points and invariant sigma-finite measures, Bull. Acad. Sci. GSSR, vol. 80, no.1, 1975 (in Russian). [13]. G. Nijaradze, On some properties of measures which are invariant with respect to dis- crete groups of motions, Bull. Acad. Sci. GSSR, vol. 80, no. 2, 1975 (in Russian). [6], [11]. G. Nijaradze, On the stability property of sets with respect to small shifts, Bull. Acad. Sci. GSSR, vol. 80, no.3, 1975 (in Russian). [13], [14]. 1976 H. Guggenheimer, E.Lutwak, Characterization of n-dimensional parallelotope, Amer. Math. Monthly, vol. 83, no. 6, 1976. [4]. G. Nijaradze, On some properties of sigma-finite measures given on Euclidean spaces, Bull. Acad. Sci. GSSR, v. 83, n. 3, 1976 (in Russian). [17]. G. Nijaradze, On nonmeasurable subsets of Euclidean spaces, Proceedings of the Conference of Young Scientists in Mathematics and Mechanics, Tbilisi State University Press, Tbilisi, 1976 (in Russian). [17]. 1977 P. Gruber, Uber¨ den Durchschnitt einen abnehmenden Folge von Parallelepipeden, El- emente der Mathematik, v. 32, n. 1, 1977. [4]. 1978 (*) V. Boltyanskii, P.Soltan, Combinatorial Geometry of Various Classes of Convex Sets, Acad. Nauk Mold. SSR, ”Stinitsa”, Kishinev, 1978, 300 p. (in Russian). [3], [4]. G. Nijaradze, On regular systems which are not Vitali ones, Bull. Acad. Sci. GSSR, v. 90, n. 2, 1978 (in Russian). [13], [19]. 1979 1 2 CITATION OF SOME WORKS OF A.B. KHARAZISHVILI A. Kipiani, On countable equidecomposability of sets in abstract spaces, Bull. Acad. Sci. GSSR, v. 95, n. 2, 1979 (in Russian). [42], [46]. 1980 R. Tsakadze, On totally homogeneous spaces, Bull. Acad. Sci. GSSR, v. 98, n. 1, 1980 (in Russian). [46], [49]. A. Gabrichidze, On symmetric sets, Bull. Acad. Sci. GSSR, v. 100, n. 3, 1980 (in Russian). [25], [47]. 1981 (*) V. Boltyanskii, Combinatorial Geometry, in the Series: ”Algebra, Topology, Geom- etry”, v. 19, 1981, pp. 209–274 (in Russian). [3], [34], [44]. (*) J. B¨ohm,E. Hertel, Polyedergeometrie in n-dimensionalen R¨aumenkonstanter Kr¨ummung, Birkhauser, Basel-Boston-Stuttgart, 1981, 380 p. [27], [29]. (*) Ch. Davis, B. Gr¨unbaum, F.A. Sherk, The Geometric Vein, Springer-Verlag, Berlin, 1981, 598 p. [47]. 1982 A. Pelc, Semiregular invariant measures on abelian groups, Proc. Amer. Math. Soc., v. 86, 1982. [15]. E. Hertel, Some generalizations of equidecomposability theory of polyhedra, Forschung- sergebnisse, Universitat Jena, N/82/49, 1982 (in Russian). [34]. 1983 (*) P. Gruber, J. Wills, Convexity and its Applications, Birkhauser, Basel, 1983. [4], [34], [39]. 1984 J. Burzyk, C. Klis, Z. Lipecki, On metrizable abelian groups, Colloq. Math., v. XLIX, 1984. [53]. Z. Zerakidze, On weakly separated and separated families of probability measures, Bull. Acad. Sci. GSSR, v. 113, n. 2, 1984 (in Russian). [49]. A. Gabrichidze, One class of symmetric sets, Bull. Acad. Sci. GSSR, v. 114, n. 1, 1984 (in Russian). CITATION OF SOME WORKS OF A.B. KHARAZISHVILI 3 [25], [47]. 1985 (*) I. Rival, Graphs and Order, D. Reidel Publ. Co., University of California, 1985, 796 p. [8]. K. Ciesielski, A. Pelc, Extensions of invariant measures on Euclidean spaces, Fund. Math., v. 125, 1985. [15], [46]. H. Kaiser, Mehrfach-orthogonale Simplexe in R¨aumenkonstanter Kr¨ummung, Beitrage zur Algebra und Geometrie, v. 19, 1985. [29]. G. Pantsulaia, On generalized integrals, Bull. Acad. Sci. GSSR, v. 117, n. 1, 1985 (in Russian). [66]. R. Tsakadze, On the notion of absolute nonmeasurability, Bull. Acad. Sci. GSSR, v. 118, n.1, 1985 (in Russian). [64], [68]. R. Tsakadze, On absolutely negligible sets in Euclidean spaces, Bull. Acad. Sci. GSSR, v. 118, n. 3, 1985 (in Russian). [71], [77]. G. Pantsulaia, On the existence of a quasi-invariant measure on a non-locally compact non-commutative topological group, Bull. Acad. Sci. GSSR, v. 120, n. 1, 1985 (in Russian). [77], [79]. G. Pantsulaia, On some properties of families of probability measures, Bull. Acad. Sci. GSSR, v. 120, n. 2, 1985 (in Russian). [71]. G. Nijaradze, On regular systems for some invariant extensions of Lebesgue measure, ”Topological Aspects of the Theory of Functions”, Tbil. State Univ., Tbilisi, 1985 (in Russian). [71]. Z. Zerakidze, On consistent estimates in nonseparable metric spaces, ”Topological As- pects of the Theory of Functions”, Tbil. State Univ., Tbilisi, 1985 (in Russian). [73]. R. Tsakadze, On absolutely nonmeasurable sets, ”Topological Aspects of the Theory of Functions”, Tbil. State Univ., Tbilisi, 1985 (in Russian). [77]. A. Kirtadze, To the question on the existence of a family of mutually singular measures in the space RN , whose cardinality is maximal, ”Topological Aspects of the Theory of Functions”, Tbil. State Univ., Tbilisi, 1985 (in Russian). [71], [79]. 4 CITATION OF SOME WORKS OF A.B. KHARAZISHVILI G. Pantsulaia, On generalized integrals for vector-functions, ”Topological Aspects of the Theory of Functions”, Tbil. State Univ., Tbilisi, 1985 (in Russian). [66]. V. Tskhadaia, Quasi-invariant and invariant measures in topological spaces, ”Topo- logical Aspects of the Theory of Functions”, Tbil. State University, Tbilisi, 1985 (in Russian). [79]. A. Gabrichidze, On some questions of combinatorial geometry in finite-dimensional normed vector spaces, The First Soviet Conference in Combinatorial Geometry, Batumi, 1985 (in Russian). [47]. H. Kaiser, To the question on decomposability of simplices into k-orthogonal simplices, The First Soviet Conference in Combinatorial Geometry, Batumi, 1985 (in Russian). [29]. G. Nijaradze, On some properties of discrete groups of motions of Euclidean spaces, The First Soviet Conference in Combinatorial Geometry, Batumi, 1985 (in Russian). [71]. T. Sajeniuk, On partitions of R3 into congruent convex curves, The First Soviet Con- ference in Combinatorial Geometry, Batumi, 1985 (in Russian). [88]. (*). N. Vakhania, V. Tarieladze, S. Chobanian, Probability Distributions in Banach Spaces, ”Nauka”, Moscow, 1985, 550 p. (in Russian). [61]. 1986 (*) S. Kakutani, Selected Papers, vol. 2, Birkh¨auser, Basel, 1986, 458 p. [16]. I.I. Bajenov, To the Liapunov theorem on the range of a vector measure, Optimization, Institute of Mathematics, SO AN SSSR, 1986 (in Russian). [71]. (*) A. Pelc, Invariant measures on discrete groups, Dissertationes Mathematicae, vol. CCLV, 1986. [15], [31], [46], [49], [53]. M.G. Rozinas, Criterion of nonlinear homogeneity of plane figures, Izvestia VUZ, Matematika, 1986 (in Russian). [65]. G. Nijaradze, On some geometric properties of G-measures, Bull. Acad. Sci. GSSR, v. 123, n. 2, 1986 (in Russian). [64]. V. Tskhadaia, On absolutely negligible sets, Bull. Acad. Sci. GSSR, v. 123, n. 3, 1986 (in Russian). [46], [71], [77]. CITATION OF SOME WORKS OF A.B. KHARAZISHVILI 5 E. Hertel, Zerlegungs¨ahnlichkeitvon Polygonen, Elemente der Mathematik, v. 41, 1986, pp. 139–143. [34]. H. Kaiser, Zum Problem der Zerlegbarkeit von Simplexen in Orthoscheme, Studia Sci- entiarum Mathematicarum Hungarica, v. 21, 1986, pp. 227–242. [29]. 1987 V.V. Buldygin, Convergence of Fourier series of stationary Gaussian processes, Ukrain. Math. Journal, v. 39, n. 3, 1987 (in Russian). [89]. G.A. Galperin, Solving Proizvolov’s problem of covering a multi-dimensional polyhedron with pyramids - generalizations of the problem, Dokl. Akad. Nauk SSSR, v. 293, n. 2, 1987 (in Russian). [86]. P. Zakrzewski, The existence of universal invariant semiregular measures on groups, Proc. Amer. Math. Soc., vol. 99, 1987. [15]. H. Kaizer, On a classification of n-dimensional simplices, Bull. Acad. Sci. GSSR, v. 125, n. 1, 1987 (in Russian). [29], [47]. A. Kirtadze, G. Pantsulaia, On essential uniqueness of invariant measures, Bull. Acad. Sci. GSSR, v. 127, n. 1, 1987 (in Russian). [71], [78], [79]. T. Sajeniuk, On combinatorial properties of nets in Euclidean spaces, Soviet Geometry Conference in Honour of A. D. Alexandrov, Novosibirsk, 1987 (in Russian). [82]. T. Sajeniuk, On some inductive constructions in combinatorial geometry, Proc. I. Vekua Inst. of Appl. Math., v. 20, 1987 (in Russian). [82], [87], [88]. A. Kipiani, Product-isomorphisms of binary relations and some of their applications, Proc. I. Vekua Inst. of Appl. Math., v. 20, 1987 (in Russian). [28], [61]. G. Nijaradze, To the question on the existence of absolutely nonmeasurable sets and the Vitali construction, Proc. I. Vekua Inst. of Appl. Math., v. 20, 1987 (in Russian). [36], [64]. D. Bersenadze, The Suslin property for measures and the Carath´eodory extension the- orem, Proc. I. Vekua Inst. of Appl. Math., v. 20, 1987 (in Russian). [71]. G. Sokhadze, To the Dilworth theorem on decomposition of ordered sets, Proc. I. Vekua Inst. of Appl. Math., v. 20, 1987 (in Russian). [61]. 6 CITATION OF SOME WORKS OF A.B. KHARAZISHVILI G. Nijaradze, On some geometric topics in the theory of measures and volumes, Proc. A.Razmadze Math. Inst., v. 85, 1987 (in Russian). [71]. V. Pokrovskii, Decompositions of n-dimensional polyhedra and the Zylev-Debrunner theorem, Proc. A. Razmadze Math. Inst., v. 85, 1987 (in Russian). [34]. T. Sajeniuk, On combinatorial properties of subsets of the Euclidean plane, Proc. A. Razmadze Math. Inst., v. 85, 1987 (in Russian). [82], [87]. 1988 P. Neumann, Homogeneity of infinite permutation groups, Bull. London Math. Soc., v. 20, n. 4, 1988. [10]. P. Zakrzewski, Extensions of invariant ideals, Algebra Univers., v. 25, n. 2, 1988. [15]. P. Zakrzewski, On universal semiregular invariant measures, The Journal of Symbolic Logic, v. 53, n. 4, 1988. [15]. (*) A. Kusraev, S. Maliugin, Some Questions of the Theory of Vector Measures, Inst. Math. SO AN SSSR, Novosibirsk, 1988, 200 p., (in Russian). [77]. V. Soltan, Nguen Man Hung, To the problem of Gr¨unbaum on affine diameters, Bull. Acad. Sci. GSSR, v. 132, n. 1, 1988 (in Russian). [38]. A. Kipiani, Some combinatorial problems connected with product isomorphisms of bi- nary relations, Acta Univ. Carolin., Ser. Math.-Phys., v. 29, n. 2, 1988. [28], [61]. 1989 G. Pantsulaia, On orthogonal families of probability measures, Trans.
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