A Taste of Linear System Theory and Signal Processing

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

Chapter Chapter 11 in A Complex Analysis Problem Book, 2011, pp 431-446 from Springer

Abstract: Abstract In the present chapter, we briefly discuss some links between the theory of analytic functions and the theory of linear systems. We refer to the books [61], [77], [111], [112], [116] for more information. The reader should be aware that more recent advances in linear system theory, in the setting of several complex variables, noncommuting variables, or stochastic setting, to name a few, require much more involved tools. Still it is necessary to master the elementary setting outlined here before going to these more advanced areas.

Keywords: Entire Function; Exponential Type; Blaschke Product; Reproduce Kernel Hilbert Space; Sampling Theorem (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0078-5_11

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DOI: 10.1007/978-3-0348-0078-5_11

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