Abstract
This paper focuses on representations of contractively embedded invariant subspaces in several variables.We present a version of the de Branges theorem for n-tuples of multiplication operators by the coordinate functions on analytic reproducing kernel Hilbert spaces over the unit ball \(\mathbb{B}^{n}\) and the Hardy space over the unit polydics \(\mathbb{D}^{n}\) in \(\mathbb{C}^{n}\).
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Gorai, S., Sarkar, J. (2019). Contractively Embedded Invariant Subspaces. In: Bolotnikov, V., ter Horst, S., Ran, A., Vinnikov, V. (eds) Interpolation and Realization Theory with Applications to Control Theory. Operator Theory: Advances and Applications, vol 272. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-11614-9_6
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DOI: https://doi.org/10.1007/978-3-030-11614-9_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-11613-2
Online ISBN: 978-3-030-11614-9
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