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Differentiation of measures

Differentiation of Measures

Part of the Lecture Notes in Mathematics book series (LNM,volume 541)

Keywords

  • Borel Space
  • Symmetric Convex Body
  • Differentiation Theorem
  • Additive Scalar Measure

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References

  1. Besicovitch, A. S. A general form of the covering principle and relative differentiation of additive functions, Proc. Cambridge Philos. Soc. 41 (1945), 103–110; also 42 (1946), 1–10.

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  2. Chatterji, S. D. (a) Martingale convergence and the Radon-Nikodym theorem in Banach spaces, Math. Scand. 22 (1968), 21–41. (b) Differentiation along algebras, Manuscripta Math. 4 (1971), 213–224.

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  3. Dunford, N. and Schwartz, J. T. Linear operators I, Interscience, 1958.

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  4. Federer, H. Geometric measure theory. Grundlehren der mathematischen Wissenschaften, Bd. 153, Springer-Verlag 1969.

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  5. Guzmàn, Miguel de Differentiation of integrals in ℝn, Lecture Notes in Mathematics, No 481, Springer-Verlag, 1975.

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  6. Morse, A. P. Perfect blankets, Trans. Amer. Math. Soc. 6 (1947), 418–442.

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  7. Munroe, M. E. Introduction to measure and integration, Addison-Wesley, 1953.

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© 1976 Springer-Verlag

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Chatterji, S.D. (1976). Differentiation of measures. In: Bellow, A., Kölzow, D. (eds) Measure Theory. Lecture Notes in Mathematics, vol 541. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081050

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  • DOI: https://doi.org/10.1007/BFb0081050

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07861-6

  • Online ISBN: 978-3-540-38107-5

  • eBook Packages: Springer Book Archive