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Representation of linear functionals over partially continuous functions

  • Cybernetics
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References

  1. L. P. Lisovik, “Operations onR-numbers,” Kibernetika, No. 2, 1–7 (1990).

    Google Scholar 

  2. L. P. Lisovik, “Logical properties of partially continuous functions,” in: Mathematical Logic and Algorithmic Problems [in Russian], Tr. Akad. Nauk SSSR, Sib. Otd., Inst. Mat., Vol. 12, 39–72, Nauka, Novosibirsk (1989).

    Google Scholar 

  3. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], 5th edn., Nauka, Moscow (1981).

    Google Scholar 

  4. V. B. Korotkov, Integral Operators [in Russian], Nauka, Novosibirsk (1983).

    Google Scholar 

  5. B. Z. Vulikh, A Short Course in the Theory of Functions of a Real Variable [in Russian], 2nd edn., Nauka, Moscow (1973).

    Google Scholar 

  6. L. P. Lisovik, “Macrotransducers on labeled trees and partially continuous operators,” Kibern. Sist. Analiz, No. 1, 16–24 (1992).

    Google Scholar 

  7. G. M. Fikhtengol'ts, A Course in Differential and Integral Calculus [in Russian], Vol. 2, 5th edn., Fizmatgiz, Moscow (1962).

    Google Scholar 

  8. B. L. Van der Waerden, “Ein einfaches Beispiel einger nichtdifferenzierbaren stetigen Funktion,” Math. Zeitschr.,32, 474–475 (1930).

    Google Scholar 

  9. F. Riesz and B. Sz.-Nagy, Lectures in Functional Analysis [Russian translation], 2nd edn., Mir, Moscow (1979).

    Google Scholar 

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 3–15, November–December, 1992.

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Lisovik, L.P. Representation of linear functionals over partially continuous functions. Cybern Syst Anal 28, 813–820 (1992). https://doi.org/10.1007/BF01291282

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