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, 2016, pp 457-471 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 [89], [117], [170], [171], [178] 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; Interpolation Problem; Blaschke Product; Reproduce Kernel Hilbert Space; Sampling Theorem (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-42181-0_11

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