Abstract
Any extension of the “strong” limit theorem for Toeplitz determinants to continuous convolution operators requires an assumption that allows one to define the determinant in question. In this paper a natural assumption on a matrix-valued symbol is presented which guarantees that the regularized determinant det(p) is defined, and a limit theorem for it is proved.
Research sponsored in part by NSF grant DMS-8601605.
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Dedicated to Israel Gohberg on his sixtieth birthday.
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© 1989 Birkhäuser Verlag Basel
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Widom, H. (1989). On Wiener-Hopf Determinants. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 41. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9278-0_29
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DOI: https://doi.org/10.1007/978-3-0348-9278-0_29
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9975-8
Online ISBN: 978-3-0348-9278-0
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