Abstract
The present paper has three sections. In the first one, we describe the structure of a n×n block-matrix by the use of a sequence of free parameters (called here generalized choice sequence). This parametrization can be viewed as an adaptation of some ideas from the classical paper of I.Schur [15]. In the second section we give a representation of the Kolmogorov decomposition of a positive-definite kernel on Z in terms of its generalized choice sequence.
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© 1986 Springer Basel AG
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Constantinescu, T. (1986). Schur Analysis of Positive Block-Matrices. In: Gohberg, I. (eds) I. Schur Methods in Operator Theory and Signal Processing. Operator Theory: Advances and Applications, vol 18. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5483-2_7
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DOI: https://doi.org/10.1007/978-3-0348-5483-2_7
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