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Hilbert spaces of entire functions as a J theory subject

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Topics in Interpolation Theory

Part of the book series: Operator Theory Advances and Applications ((OT,volume 95))

Abstract

In this work a number of fundamental results in the de Branges theory of Hilbert spaces of entire functions are obtained from the point of view of J theory. Particular attention is focused on the set of measures which satisfy a Parseval equality in such a Hilbert space of entire functions.

A resolvent matrix for the solutions of this problem is studied. It is a J inner matrix valued meromorphic function. A number of theorems about its real representation, structure and parametrization are obtained.

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© 1997 Springer Basel AG

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Golinskii, L., Mikhailova, I. (1997). Hilbert spaces of entire functions as a J theory subject. In: Dym, H., Katsnelson, V., Fritzsche, B., Kirstein, B. (eds) Topics in Interpolation Theory. Operator Theory Advances and Applications, vol 95. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8944-5_11

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  • DOI: https://doi.org/10.1007/978-3-0348-8944-5_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9838-6

  • Online ISBN: 978-3-0348-8944-5

  • eBook Packages: Springer Book Archive

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