Some Useful Theorems

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev, Department of Mathematics

Chapter Chapter 14 in A Complex Analysis Problem Book, 2016, pp 513-527 from Springer

Abstract: 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,. . . ).

Keywords: Dominate Convergence Theorem; Uniform Limit; Lebesgue Dominate Convergence Theorem; Weierstrass Function; Riemann Integrability (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-42181-0_14

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DOI: 10.1007/978-3-319-42181-0_14

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