Abstract
In this chapter we collect a number of results from real analysis, which are useful to solve the exercises. The results presented are along one main theme: How to interchange two operations in analysis (for instance order of integration in a double integral, integration of a function depending on a parameter and derivation with respect to this parameter,. . . ).
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Keywords
- Dominate Convergence Theorem
- Uniform Limit
- Lebesgue Dominate Convergence Theorem
- Weierstrass Function
- Riemann Integrability
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Alpay, D. (2016). Some Useful Theorems. In: A Complex Analysis Problem Book. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42181-0_14
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DOI: https://doi.org/10.1007/978-3-319-42181-0_14
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42179-7
Online ISBN: 978-3-319-42181-0
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