@article{10_21136_CMJ_1995_128511,
author = {Jurkat, W. B. and Nonnenmacher, D. J. F.},
title = {The fundamental theorem for the $\nu_1$-integral on more general sets and a corresponding divergence theorem with singularities},
journal = {Czechoslovak Mathematical Journal},
pages = {69--77},
year = {1995},
volume = {45},
number = {1},
doi = {10.21136/CMJ.1995.128511},
mrnumber = {1314531},
zbl = {0832.26008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128511/}
}
TY - JOUR AU - Jurkat, W. B. AU - Nonnenmacher, D. J. F. TI - The fundamental theorem for the $\nu_1$-integral on more general sets and a corresponding divergence theorem with singularities JO - Czechoslovak Mathematical Journal PY - 1995 SP - 69 EP - 77 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128511/ DO - 10.21136/CMJ.1995.128511 LA - en ID - 10_21136_CMJ_1995_128511 ER -
%0 Journal Article %A Jurkat, W. B. %A Nonnenmacher, D. J. F. %T The fundamental theorem for the $\nu_1$-integral on more general sets and a corresponding divergence theorem with singularities %J Czechoslovak Mathematical Journal %D 1995 %P 69-77 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128511/ %R 10.21136/CMJ.1995.128511 %G en %F 10_21136_CMJ_1995_128511
Jurkat, W. B.; Nonnenmacher, D. J. F. The fundamental theorem for the $\nu_1$-integral on more general sets and a corresponding divergence theorem with singularities. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 1, pp. 69-77. doi: 10.21136/CMJ.1995.128511
[Fed] H. Federer: Geometric Measure Theory. Springer, New York, 1969. | MR | Zbl
[Jar-Ku 1] J. Jarnik and J. Kurzweil: A non-absolutely convergent integral which admits $C^1$-Transformations. Časopis pro Pěstovaní Mat. 109 (1984), 157–167. | MR
[Jar-Ku 2] J. Jarnik and J. Kurzweil: A non-absolutely convergent integral which admits transformation and can be used for integration on manifolds. Czech. Math. J. 35 (110) (1985), 116–139. | MR
[Jar-Ku 3] J. Jarnik and J. Kurzweil: A new and more powerful concept of the $PU$-integral. Czech. Math. J. 38 (113) (1988), 8–48. | MR
[Ju] W.B. Jurkat: The Divergence Theorem and Perron integration with exceptional sets. Czech. Math. J. 43 (1993), 27–45. | MR | Zbl
[Ju-No 1] W.B. Jurkat and D.J.F. Nonnenmacher: An axiomatic theory of non-absolutely convergent integrals in $R^n$. Fund. Math. 145 (1994), 221–242. | DOI | MR
[Ju-No 2] W.B. Jurkat and D.J.F. Nonnenmacher: A generalized $n$-dimensional Riemann integral and the Divergence Theorem with singularities. Acta Sci. Math. (Szeged) 59 (1994), 241–256. | MR
[No] D.J.F. Nonnenmacher: Theorie mehrdimensionaler Perron-Integrale mit Ausnahmemengen. PhD thesis, Univ. of Ulm, 1990. | Zbl
[Pf 1] W.F. Pfeffer: The Divergence Theorem. Trans. Amer. Math. Soc. 295 (1986), 665–685. | DOI | MR | Zbl
[Pf 2] W.F. Pfeffer: The Gauß-Green Theorem. Advances in Mathematics 87 (1991), no. 1, 93–147. | DOI | MR | Zbl
[Saks] S. Saks: Theory of the integral. Dover, New York, 1964. | MR
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