Abstract
In standard physics courses integration usually means Riemann integration, while students in mathematics are taught from the beginning the more sophisticated Lebesgue integral. Functional analysis, which for this book means in the first place Hilbert space theory, requires Lebesgue integration, which in turn needs measure theory. This chapter will therefore provide the basic ingredients of the theory of measure and integration as an introduction to Supp. Chap. 21, serving a similar purpose as Supp. Chap. 18.
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Reference
Paul, R.: Halmos Measure Theory. Van Nostrand, New York (1950) (Re-issued by Springer in 1974) [Specialists in measure theory may find this clearly written book slightly outdated. Nevertheless, it remains, after more than fifty years, unsurpassed as a general textbook on measure and integration.]
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Bongaarts, P. (2015). Measure and Integral. In: Quantum Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-09561-5_19
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DOI: https://doi.org/10.1007/978-3-319-09561-5_19
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-09561-5
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