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Focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus is not injective.
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Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics.
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"Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces.
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I can recommend it unconditionally… Elena Prestini… has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place.
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Bemærk: Kan ikke leveres før jul.
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013.
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The contributing authors represent a group of international experts in... Læs mere
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Bemærk: Kan ikke leveres før jul.
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting.
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This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.
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This book focuses on the approximation of nonlinear equations using iterative methods. The book reveals the importance of studying convergence... Læs mere
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This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the... Læs mere