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Operator theory --- -517.983 --- Functional analysis --- Congresses --- Linear operators. Linear operator equations --- 517.983 Linear operators. Linear operator equations --- 517.983

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Operator theory --- Invariant subspaces --- Congresses --- -Operator theory --- -517.983 --- Functional analysis --- Subspaces, Invariant --- Hilbert space --- Linear operators. Linear operator equations --- Congresses. --- 517.983 Linear operators. Linear operator equations --- 517.983 --- Operator theory - Congresses --- Invariant subspaces - Congresses

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Operator theory --- Analytical spaces --- 517.983 --- Linear operators. Linear operator equations --- Integral operators. --- Lp spaces. --- 517.983 Linear operators. Linear operator equations --- Opérateurs intégraux

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Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.

Hankel operators. --- Operator theory. --- Functional analysis --- Operators, Hankel --- Integral operators --- Hankel operators --- 517.983 --- 517.983 Linear operators. Linear operator equations --- Linear operators. Linear operator equations

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Metric spaces --- -Operator theory --- -Scattering operator --- -517.983 --- Operator theory --- Scattering (Physics) --- Functional analysis --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Congresses --- Linear operators. Linear operator equations --- 517.983 Linear operators. Linear operator equations --- -Congresses