Titlebook: Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations; A Volume Dedicated t Daniel Alpay,Bernd Kirstein Book 2018 Spr

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Finite Rank Perturbations in Pontryagin Spaces and a Sturm–Liouville Problem with ,-rational Boundarensions of the spectral subspaces corresponding to open intervals in gaps of the essential spectrum differ at most by .+2.. This is a natural extension of a classical result on finite rank perturbations of selfadjoint operators in Hilbert spaces to the indefinite setting.With the help of an explicit

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Rational , Carathéodory Functions and Central Non-negative Hermitian Measuresasures are intimately connected to central . Carathéodory functions. This enables us to prove an explicit representation of the nonstochastic spectral measure of an arbitrary multivariate autoregressive stationary sequence in terms of the covariance sequence.

Density

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An Addendum to a Paper by Li and Zhangositive semidefinite matrices. Slightly generalizing Li and Zhang’s proof we obtain a more general result under the assumption that all matrices on the principal diagonal are of the same size. Also, we answer a question asked by Marcus and Watkins in 1971.

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