## A note on the Gauss-Green theorem.(English)Zbl 0087.27302

### Keywords:

differentiation and integration, measure theory
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### References:

 [1] E. De Giorgi, Su una teoria generale delta misura $$r - 1$$ dimensionale in un spazio ad $$r$$ dimensioni, Annali di Matematica Ser. 4 vol. 36 (1954) p. 191. · Zbl 0055.28504 [2] -, Nuovi teoremi relativi alle misure $$r - 1$$ dimensionali in uno spazio ad $$r$$ dimensioni, Ricerche di Matematica vol. 4 (1955) p. 95. · Zbl 0066.29903 [3] Herbert Federer, The Gauss-Green theorem, Trans. Amer. Math. Soc. 58 (1945), 44 – 76. · Zbl 0060.14102 [4] Herbert Federer, Coincidence functions and their integrals, Trans. Amer. Math. Soc. 59 (1946), 441 – 466. · Zbl 0060.14101 [5] -, The $$(\phi ,k)$$ rectifiable subsets of $$n$$ space, Trans. Amer. Math. Soc. vol. 62 (1947) p. 114. · Zbl 0032.14902 [6] -, An analytic characterization of distributions whose partial derivatives are representable by measures, Bull. Amer. Math. Soc. Abstract 60-4-407 (1954). [7] W. H. Fleming and L. C. Young, Representations of generalized surfaces as mixtures, Rend. Circ. Mat. Palermo (2) 5 (1956), 117 – 144. · Zbl 0075.30703 [8] K. Krickeberg, Distributions and Lebesgue area, Bull. Amer. Math. Soc. Abstract 63-4-437 (1957).
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