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Krein orthogonal entire matrix functions and related Lyapunov equations: a state space approach - MaRDI portal

Krein orthogonal entire matrix functions and related Lyapunov equations: a state space approach (Q1039555)

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scientific article; zbMATH DE number 5636890
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English
Krein orthogonal entire matrix functions and related Lyapunov equations: a state space approach
scientific article; zbMATH DE number 5636890

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    Krein orthogonal entire matrix functions and related Lyapunov equations: a state space approach (English)
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    23 November 2009
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    Necessary and sufficient conditions, stated in terms of certain operator Lyapunov equation, are given for a class of entire matrix functions of exponential type, in order that these functions are Krein orthogonal functions.
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    Krein orthogonal matrix function
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    entire matrix function
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    realization
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    Lyapunov operator equation
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    inertia
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    convolution integral operators on a finite interval
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