Morera, Liouville, Schwarz, et les autres: First Applications

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

Chapter Chapter 6 in A Complex Analysis Problem Book, 2016, pp 293-335 from Springer

Abstract: Abstract Cauchy’s formula is the key to most, if not all, important results in complex variables, and in particular to the existence of a power series expansion around each point of analyticity, the maximum modulus principle and the fact that the zeros of a non-identically vanishing analytic function are isolated. In this chapter we present exercises on these topics.

Keywords: Unit Circle; Entire Function; Analytic Continuation; Interpolation Problem; Blaschke Product (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-42181-0_6

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