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Analysis and Operator Theory

Dedicated in Memory of Tosio Kato’s 100th Birthday

Themistocles M. Rassias (Hrsg.), Valentin A. Zagrebnov (Hrsg.)

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ca. 139,09 €
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential equations, and functional analysis including nonlinear evolution equations, the Korteweg–de Vries equation, the Navier–Stokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the Howland–Kato commutator problem, the Kato-class of potentials, and the Trotter–Kato product formulae are discussed and analyzed.  Graduate students, research mathematicians, and applied scientists will find that this book provides comprehensive insight into the significance of Tosio Kato’s impact to research in analysis and operator theory.  

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Schlagwörter

Linear Evolution Equations on Hilbert Spaces, Magnetic Schrodinger Operator, Kato’s Unpublished Paper, Complex Electric Potential, Stochastic Independence, Korteweg-de Vries equation, linear and non-linear analysis, perturbed differential and boundary operators, Nelson Model with Kato-class Potentials, functional analysis, Navier-Stokes equation, Kato’s Inequality, Friedmann Equation, Tosio Kato, Non-Relativistic Quantum Mechanics, operator theory, non-linear evolution equations, partial differential equations, Howland - Kato Commutator Problem, non-relativistic Quantum Mechanics