Division space axiomatics

Krzysztof Ostaszewski

Acta Mathematica et Informatica Universitatis Ostraviensis (1993)

  • Volume: 01, Issue: 1, page 47-58
  • ISSN: 1804-1388

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Ostaszewski, Krzysztof. "Division space axiomatics." Acta Mathematica et Informatica Universitatis Ostraviensis 01.1 (1993): 47-58. <http://eudml.org/doc/23752>.

@article{Ostaszewski1993,
author = {Ostaszewski, Krzysztof},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {division spaces; Kurzweil-Henstock integral; axioms; derivation bases},
language = {eng},
number = {1},
pages = {47-58},
publisher = {University of Ostrava},
title = {Division space axiomatics},
url = {http://eudml.org/doc/23752},
volume = {01},
year = {1993},
}

TY - JOUR
AU - Ostaszewski, Krzysztof
TI - Division space axiomatics
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1993
PB - University of Ostrava
VL - 01
IS - 1
SP - 47
EP - 58
LA - eng
KW - division spaces; Kurzweil-Henstock integral; axioms; derivation bases
UR - http://eudml.org/doc/23752
ER -

References

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  1. Henstock R., Definitions of Riemann type of the variational integrals, Proc. London Math. Soc. 3 (1961), 11, 402-418 (1961) Zbl0099.27402MR0132147
  2. Henstock R., Integration, variation, and differentiation in division spaces, Proc. Royal Irish Academy 10 (1978), 78, 69-85 (1978) Zbl0348.28008MR0513301
  3. Kolgomoroff A., 10.1007/BF01455714, Math. Ann. 103 (1930), 654-696. (1930) DOI10.1007/BF01455714
  4. Kuгzweil J., Generalized ordinary differential equations and continuous dependence on a parameter, Czech. Math. J. 7 (1957), 82, 418-449 (1957) MR0111875
  5. Muldowney P. A., A General Theory of Integration in Function Spaces, Pitman Research Notes in Mathematics, 153, Longmans, 1987. (1987) Zbl0623.28008
  6. Ostaszewski K., Henstock Integration in the Plane, Memoirs of the Ameгican Methematical Society 353 (1986). (1986) Zbl0596.26005MR0856159
  7. Thomson B. S., Derivation bases on the real line, Real Anal. Exchange 8 (1982-1983), 67-207. (1982) MR0694507
  8. Thomson B. S., Differentiation bases on the real line, Real Anal. Exchange 8 (1982-1983), 278-442. (1982) MR0700194

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