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Cecconi, Jaurès

Sul teorema di Gauss-Green. (Italian) Zbl 0043.05802

Rend. Sem. Mat. Univ. Padova 20, 194-218 (1951).
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Keywords:

Differentiation und integration
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References:

[1] 1 P. Alexandroff - H. Hopf : Topologie , Berlin , 1935 . Zbl 0277.55001 · Zbl 0277.55001
[2] 2 A.S. Besicovitch : On the definition and the value, of the area of a surface , Quarterly Jl. of Math. Oxford Series 16 , 86 102 ( 1945 ). MR 14415 | Zbl 0063.00350 · Zbl 0063.00350
[3] 3 L. Cesari : Sui fondamenti geometri dell’ integrale classico per l’area delle superficie in forma parametrica , Mem. Accad. Italia , 13 , 1323 - 1481 ( 1943 ). MR 17355 | Zbl 0061.11001 · Zbl 0061.11001
[4] 4 L. Cesari : La nozione di integrale sopra una superficie in forma parametrica , Ann. Scuola Norm. Superiore ( 2 ) 13 , 77 - 117 ( 1944 ). Numdam | MR 24510 | Zbl 0029.29102 · Zbl 0029.29102
[5] 5 L. Cesari : Sulle superficie di Frechet, Riv. Mat. Univer . Parma , 1 , 19 - 44 ( 1950 ). MR 32723 | Zbl 0040.17602 · Zbl 0040.17602
[6] 6 H. Federer : The Gauss - Green Theorem , Trans. of Amer. Math. Soc. 58 , 44 - 76 ( 1945 ). MR 13786 | Zbl 0060.14102 · Zbl 0060.14102 · doi:10.2307/1990234
[7] 7 R.G. Helsel : Convergence in area and in volume , Duke Math. Jl. 16 , 111 - 118 ( 1949 ). Article | MR 28389 | Zbl 0033.17202 · Zbl 0033.17202 · doi:10.1215/S0012-7094-49-01610-5
[8] 8 G.C. Lorentz : Ueber den Gaussschen Integralsatz , Ber. Math. Tagung Tübingen 1946 , 94 - 96 ( 1947 ). MR 22595 | Zbl 0029.02001 · Zbl 0029.02001
[9] 9 T. Radó : Tico-dimensional concepts of bounded varation and absolute continuity , Duke Math. J l. 14, 587-608 ( 1947 ). Article | MR 22593 | Zbl 0029.35002 · Zbl 0029.35002 · doi:10.1215/S0012-7094-47-01448-8
[10] 10 T. Radó : The isoperimetric inequality and the Lebesgue definition of surface area . Trans. of Amer. Math. Soc. 61 , 530 - 555 ( 1947 ). MR 21966 | Zbl 0035.32601 · Zbl 0035.32601 · doi:10.2307/1990390
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