Perturbation Of Spectra In Hilbert Space
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Perturbation Of Spectra In Hilbert Space
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Author : Kurt Otto Friedrichs
language : en
Publisher: American Mathematical Soc.
Release Date : 1965
Perturbation Of Spectra In Hilbert Space written by Kurt Otto Friedrichs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hilbert space categories.
Perturbation Of Spectra In Hilbert Space
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Author : K. O. Friedrichs
language : en
Publisher: Amer Mathematical Society
Release Date : 1965
Perturbation Of Spectra In Hilbert Space written by K. O. Friedrichs and has been published by Amer Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hilbert space categories.
Introduction To Spectral Theory In Hilbert Space
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Author : Gilbert Helmberg
language : en
Publisher: Elsevier
Release Date : 2014-11-28
Introduction To Spectral Theory In Hilbert Space written by Gilbert Helmberg and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-28 with Science categories.
North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus on projection and adjoint operators, bilinear forms, bounded linear mappings, isomorphisms, orthogonal subspaces, base, subspaces, finite dimensional Euclidean space, and normed linear spaces. The text then takes a look at the general theory of linear operators and spectral analysis of compact linear operators, including spectral decomposition of a compact selfadjoint operator, weakly convergent sequences, spectrum of a compact linear operator, and eigenvalues of a linear operator. The manuscript ponders on the spectral analysis of bounded linear operators and unbounded selfadjoint operators. Topics include spectral decomposition of an unbounded selfadjoint operator and bounded normal operator, functions of a unitary operator, step functions of a bounded selfadjoint operator, polynomials in a bounded operator, and order relation for bounded selfadjoint operators. The publication is a valuable source of data for mathematicians and researchers interested in spectral theory in Hilbert space.
Perturbation Of Spectra In Hilbert Space
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Author : Kurt Otto Friedrichs
language : en
Publisher:
Release Date : 1965
Perturbation Of Spectra In Hilbert Space written by Kurt Otto Friedrichs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hilbert space categories.
Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Perturbation Theory For Linear Operators written by Tosio Kato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Perturbation Theory
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Author : Giuseppe Gaeta
language : en
Publisher: Springer Nature
Release Date : 2022-12-16
Perturbation Theory written by Giuseppe Gaeta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-16 with Science categories.
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
High Precision Methods In Eigenvalue Problems And Their Applications
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Author : Leonid D. Akulenko
language : en
Publisher: CRC Press
Release Date : 2004-10-15
High Precision Methods In Eigenvalue Problems And Their Applications written by Leonid D. Akulenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-15 with Science categories.
This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high
Analytic Methods Of Spectral Representations Of Non Selfadjoint Non Unitary Operators
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Author : Vladimir A. Zolotarev
language : en
Publisher: Springer Nature
Release Date : 2025-05-03
Analytic Methods Of Spectral Representations Of Non Selfadjoint Non Unitary Operators written by Vladimir A. Zolotarev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-03 with Mathematics categories.
This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.
Spectral Theory Of Operators In Hilbert Space
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Author : Kurt O. Friedrichs
language : en
Publisher:
Release Date : 2014-09-01
Spectral Theory Of Operators In Hilbert Space written by Kurt O. Friedrichs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Perturbation Theory Of Eigenvalue Problems
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Author : Franz Rellich
language : en
Publisher: CRC Press
Release Date : 1969
Perturbation Theory Of Eigenvalue Problems written by Franz Rellich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.