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Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular cha

Hilbert space. --- Hilbert, Espaces de --- Banach spaces --- Hyperspace --- Inner product spaces --- Hilbert, Espaces de. --- Analytical spaces

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Operator theory --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Opérateurs, Théorie des --- Hilbert, Espaces de --- Hilbert space --- Analyse fonctionnnelle --- Functional analysis --- Opérateurs, Théorie des --- Opérateurs, Théorie des. --- Analyse fonctionnelle --- Opérateurs, Théorie des.

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Analytical spaces --- 517.9 --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Hilbert space --- Operator theory --- Congresses. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Opérateurs, Théorie des --- Hilbert, Espaces de --- Opérateurs, Théorie des --- Opérateurs, Théorie des. --- Opérateurs, Théorie des.

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Quantum mechanics in Hilbert space

Analytical spaces --- Quantum mechanics. Quantumfield theory --- Hilbert, Espaces de --- Hilbert space --- Hilbert space. --- Quantum theory. --- Random matrices. --- Energy levels (Quantum mechanics) --- Statistical methods. --- Random matrices --- Matrices, Random --- Matrices --- Théorie quantique --- Energy states (Quantum mechanics) --- Quantum theory --- Excited state chemistry --- Nuclear excitation --- Théorie quantique --- Physique mathématique --- Energy levels (Quantum mechanics) - Statistical methods. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Banach spaces --- Hyperspace --- Inner product spaces --- Espaces de hilbert