Perturbation of Banach Algebras, Krzysztof Jarosz

Автор: Koshmanenko
Название: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
ISBN: 3319295330 ISBN-13(EAN): 9783319295336
Издательство: Springer
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Цена: 102480.00 T
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Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.

Автор: Holmes, Mark H. (rensselaer Polytechnic Institute, Troy, Ny, Usa)
Название: Introduction to perturbation methods
ISBN: 1489996133 ISBN-13(EAN): 9781489996138
Издательство: Springer
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Цена: 55850.00 T
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Описание: In its expanded new edition, this book covers boundary layers, multiple scales, homogenisation, slender body theory, symbolic computing, discrete equations and more. Includes exercises derived from current research, drawn from a range of application areas.

Автор: Miller J J H Et Al
Название: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition)
ISBN: 9814390739 ISBN-13(EAN): 9789814390736
Издательство: World Scientific Publishing
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Цена: 79200.00 T
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Описание: Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. This book offers an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. It can be used as an introductory text to the theory underpinning fitted mesh methods.

Автор: Armando Marino
Название: A New Target Detector Based on Geometrical Perturbation Filters for Polarimetric Synthetic Aperture Radar (POL-SAR)
ISBN: 3642431569 ISBN-13(EAN): 9783642431562
Издательство: Springer
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Цена: 121890.00 T
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Описание: This publication details a groundbreaking radar methodology called perturbation analysis, which enables detection of targets smaller than the resolution cell that are highly embedded in clutter. It pushes forward the performance limits of current algorithms.