The Inverse Spectral Problem for Self-Adjoint Hankel Operators

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Hankel Operators and Their Applications

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

In ยง8.5 we have considered a geometric problem in the theory of stationary Gaussian processes and we have reduced this problem to the problem of the description of the bounded linear operators on Hilbert space that are unitarily equivalent to moduli of Hankel operators. In this chapter we are going to solve the latter problem, which in turn will lead to a solution of the above geometric problem in prediction theory.

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ยฉ 2003 Springer-Verlag New York, Inc.

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Peller, V. (2003). The Inverse Spectral Problem for Self-Adjoint Hankel Operators. In: Hankel Operators and Their Applications. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21681-2_12

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  • DOI: https://doi.org/10.1007/978-0-387-21681-2_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3050-7

  • Online ISBN: 978-0-387-21681-2

  • eBook Packages: Springer Book Archive

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