Abstract
Uniqueness theorems in measure and integration theory serve to determine and identify measures.
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Notes
- 1.
Evgenii Dynkin, born 1924 in Leningrad, active in Moscow and Cornell. He made essential contributions to Lie algebras and probability theory.
- 2.
Constantin Carathéodory, 1873–1950, born in Berlin, active at several German universities, in Athens, and finally from 1924 in Munich. He made essential contributions to measure and integration theory, the calculus of variations, complex analysis, and the axiomatic treatment of thermodynamics. During the period 1920–1922 he acted as founding rector of the university at Smyrna.
Bibliography
H. Bauer, Measure and Integration Theory (de Gruyter, Berlin/New York, 2001)
J. Elstrodt, Maß- und Integrationstheorie, 6. Aufl. (Springer, 2009)
L.C. Evans, R.F. Gariepy, Measure Theory and Fine Properties of Functions (CRC, Boca Raton, 1992)
P.R. Halmos, Measure Theory (Van Nostrand, New York, 1950/Springer, New York, 1974)
A. Klenke, Probability Theory, 2nd edn. (Springer, London/New York, 2013)
A. Pietsch, History of Banach Spaces and Linear Operators (Springer, London, 2007)
W. Rudin, Principles of Mathematical Analysis, 3rd edn. (McGraw-Hill, New York, 1976)
W. Rudin, Real and Complex Analysis, 3rd edn. (McGraw-Hill, Singapore, 1986)
R. Schilling, Measures, Integrals and Martingales (Cambridge University Press, Cambridge/New York, 2005)
The MacTutor history of mathematics archive, http://www-history.mcs.st-and.ac.uk/
D. Werner, Funktionalanalysis, 6. Aufl. (Springer, 2007)
D. Werner, Einführung in die Höhere Analysis, 2. Aufl. (Springer, 2009)
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Brokate, M., Kersting, G. (2015). Uniqueness and Regularity of Measures. In: Measure and Integral. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-15365-0_7
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