M. Burgin

THEORY OF HYPERNUMBERS AND EXTRAFUNCTIONS

Selected Publications


 

  1. Hypermeasures and Hyperintegration, Doklady of the National Academy of Sciences of Ukraine, 1990, N6, pp.10-13 (in Russian and Ukrainian)

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  2. Infinite-valued measures and integration, XVI School on theory of operators in functional spaces, Nijnii Novgorod, 1991, p.28 (in Russian)

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  3. On the Hann-Banach Theorem for Hyperfunctionals, Doklady of the Ukrainian Acad. of Sciences, 1991, N7, pp. 9-14 (in Russian, in Ukrainian)

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  4. Topological Spaces of Extrafunctions, IX Int. Conf. on Topology and its Applications, Kiev, 1992, p.62

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  5. Topological Characterization of Hypernumbers , VIII Summer Conf. on General Topology and Appl., New York, 1992, p.4

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  6. Differential Calculus For Extrafunctions , Doklady of the National Acad. of Sciences of Ukraine, 1993, N11, pp. 7-11

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  7. Integral Calculus for Extrafunctions , Doklady of the National Academy, of Sciences of Ukraine,1995, N11, pp. 14-17

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  8. A method of solution of operator equations by means of the theory of hypernumbers, Doklady of the National Academy of Sciences of Ukraine,1995, N8, pp.27-30 (in Russian, in collaboration)

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  9. Approaches to the Notion of the Actual Infinity in Mathematics, Infinity in Mathematics, Moscow, 1997, 97-107 (in Russian)

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  10. Hypernormed Spaces and Algebras, International Algebraic Conference dedicated to the Memory of Prof. L.M.Gluskin, Kharkov, 1997, 97-98

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  11. Application of hyper-numbers for filter choice, Problems of industrial ecology, Moscow, 1993 (in Russian, in collaboration)