Abstract
In this paper it is proved that the band extension on the real line (viewed as a convolution operator) may be obtained as a limit in the operator norm of block Laurent operators of which the symbols are band extensions of appropriate discrete approximations of the given data.
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Gohberg, I., Kaashoek, M.A. (1992). The Band Extension on the Real Line as a Limit of Discrete Band Extensions, I. The Main Limit Theorem. In: Ando, T., Gohberg, I. (eds) Operator Theory and Complex Analysis. Operator Theory: Advances and Applications, vol 59. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8606-2_10
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DOI: https://doi.org/10.1007/978-3-0348-8606-2_10
Publisher Name: Birkhäuser, Basel
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