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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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
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