Some Functional Analysis

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev

Chapter Chapter 6 in An Advanced Complex Analysis Problem Book, 2015, pp 285-327 from Springer

Abstract: Abstract Functional analysis and complex variables interact in numerous places. In this chapter we picked out some instances of these connections. We first discuss the Fourier transform and the Stieltjes integral. Then, we focus on some density results. We also discuss the Hankel transform and realization of analytic functions.

Keywords: Inverse Fourier Transform; Bergman Space; Dominate Convergence Theorem; Schwarz Inequality; Hermite Polynomial (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16059-7_6

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DOI: 10.1007/978-3-319-16059-7_6

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