Abstract
Toeplitz and Laurent operators play a basic role in systems theory. For example, a lower triangular Toeplitz matrix can be viewed as an input-output map for a linear causal time invariant system. First we introduce the Fourier transform. Then we will study Toeplitz and Laurent operators. The Fourier transform will be used to turn Laurent operators into multiplication operators and visa versa.
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© 2010 Birkhäuser Verlag AG
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Frazho, A.E., Bhosri, W. (2010). Toeplitz and Laurent Operators. In: An Operator Perspective on Signals and Systems. Operator Theory: Advances and Applications, vol 204. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0292-1_2
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DOI: https://doi.org/10.1007/978-3-0346-0292-1_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0291-4
Online ISBN: 978-3-0346-0292-1
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