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Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point

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Recent Advances in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 124))

Abstract

In this paper we prove generalized Herglotz representation theorems for bounded upper triangular operators with nonnegative real part when the base “point” (in fact a diagonal operator) is different from 0.

Dedicated to Israel Gohberg on the occasion of his seventieth birthday

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References

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© 2001 Springer Basel AG

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Alpay, D., Dijksma, A., Peretz, Y. (2001). Nonstationary Analogs of the Herglotz Representation Theorem: Realizations Centered at an Arbitrary Point. In: Dijksma, A., Kaashoek, M.A., Ran, A.C.M. (eds) Recent Advances in Operator Theory. Operator Theory: Advances and Applications, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8323-8_3

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  • DOI: https://doi.org/10.1007/978-3-0348-8323-8_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9516-3

  • Online ISBN: 978-3-0348-8323-8

  • eBook Packages: Springer Book Archive

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