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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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Operator theory --- Operator algebras --- Hilbert space --- Congresses --- -Operator algebras --- -Operator theory --- -517.983 --- Functional analysis --- Algebras, Operator --- Topological algebras --- Banach spaces --- Hyperspace --- Inner product spaces --- Linear operators. Linear operator equations --- Congresses. --- 517.983 Linear operators. Linear operator equations --- 517.983 --- Opérateurs, Théorie des --- Hilbert, Espaces de --- Opérateurs, Théorie des --- Analyse fonctionnelle --- Opérateurs, Théorie des. --- Operator algebras - Congresses --- Operator theory - Congresses --- Hilbert space - Congresses --- Opérateurs, Théorie des.

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Operator theory --- Differential geometry. Global analysis --- Pseudodifferential operators --- Fourier integral operators --- Opérateurs pseudo-différentiels --- Opérateurs intégraux de Fourier --- 517.983 --- Operators, Pseudodifferential --- Pseudo-differential operators --- Fourier analysis --- Integral operators --- Linear operators. Linear operator equations --- Pseudodifferential operators. --- Fourier integral operators. --- 517.983 Linear operators. Linear operator equations --- Opérateurs pseudo-différentiels --- Opérateurs intégraux de Fourier --- Fourier, Opérateurs intégraux de

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Iterative methods (Mathematics) --- Operator equations --- Numerical solutions --- Nonlinear operators --- -517.983 --- 519.6 --- Equations, Operator --- Differential equations, Partial --- Operators, Nonlinear --- Operator theory --- Iteration (Mathematics) --- Numerical analysis --- Linear operators. Linear operator equations --- Computational mathematics. Numerical analysis. Computer programming --- Nonlinear operators. --- Numerical solutions. --- Iterative methods (Mathematics). --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.983 Linear operators. Linear operator equations --- 517.983 --- Newton-Raphson method --- Newton, Méthode de --- Analyse fonctionnelle non linéaire --- Nonlinear functional analysis --- Newton, Méthode de --- Analyse fonctionnelle non linéaire. --- Newton, Méthode de. --- Nonlinear functional analysis. --- Newton-Raphson method. --- Point fixe, Théorème du --- Operator equations - Numerical solutions --- Equations non lineaires --- Analyse en dimension infinie --- Approximation des solutions