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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 266))

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Abstract

In this chapter the resolvent matrices At(λ) of ci extension problems with specified will be identified with the matrizant of either an integral or a differential system with spectral density that meets the constraints in (1.1) or (1.3). Formulas for the projection onto certain closed subspaces of terms of the generalized Fourier transform based on the matrizant of the system will be presented.

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Arov, D.Z., Dym, H. (2018). Inverse Spectral Problems for Integral and Differential Systems. In: Multivariate Prediction, de Branges Spaces, and Related Extension and Inverse Problems. Operator Theory: Advances and Applications, vol 266. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-70262-9_6

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