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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 246))

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Abstract

For convenience, in this chapter we will provide full proofs of the results from [173] which are cited in Chapter 5. One of the gaps in B.Ja. Levin’s results is that [173, Theorem 1, p. 308] only deals with the case that the meromorphic functions under consideration have infinitely many positive and negative zeros and poles. We therefore will provide more detailed proofs and will cover all possible cases. However, the layout of the proofs is as presented in [173, Chapter VII].

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Möller, M., Pivovarchik, V. (2015). Analytic and Meromorphic Functions. In: Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Operator Theory: Advances and Applications, vol 246. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17070-1_11

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