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  3. Spectral Theory

Spectral Theory of Localized Resonances and Applications

Posted By: AvaxGenius
Date: 24 Mar 2024 03:08:32
Spectral Theory of Localized Resonances and Applications

Spectral Theory of Localized Resonances and Applications by Youjun Deng , Hongyu Liu
English | PDF EPUB (True) | 2024 | 367 Pages | ISBN : 9819962439 | 47.8 MB

This book is devoted to the spectral theory of localized resonances including surface plasmon/polariton resonances, atypical resonances, anomalous localized resonances and interior transmission resonances. Those resonance phenomena arise in different physical contexts, but share similar features. They form the fundamental basis for many cutting-edge technologies and applications including invisibility cloaking and super-resolution imaging. The book presents a systematic and comprehensive treatment on these resonance phenomena and the associated applications in a unified manner from a mathematical and spectral perspective, covering acoustic, electromagnetic and elastic wave scattering.
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Spectral Theory and Wave Processes

Posted By: AvaxGenius
Date: 7 May 2023 15:09:20
Spectral Theory and Wave Processes

Spectral Theory and Wave Processes by M. Sh. Birman
English | PDF | 1967 | 118 Pages | ISBN : 1468475975 | 10 MB

The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists.
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Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) (Repost)

Posted By: AvaxGenius
Date: 28 Aug 2022 07:50:38
Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) (Repost)

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2): Celebrating Cora Sadosky's Life by María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina
English | PDF | 2017 | 469 Pages | ISBN : 3319846930 | 8.1 MB

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included.
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A Short Course on Spectral Theory

Posted By: AvaxGenius
Date: 1 Aug 2022 14:22:05
A Short Course on Spectral Theory

A Short Course on Spectral Theory by William Arveson
English | PDF | 2002 | 144 Pages | ISBN : 0387953000 | 12.3 MB

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.
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Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis

Posted By: AvaxGenius
Date: 14 Jun 2022 10:17:53
Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis

Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis by Yury Shestopalov
English | EPUB | 2022 | 269 Pages | ISBN : 9811905835 | 39.8 MB

This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption.
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Spectral Theory and Quantum Mechanics, Second Edition (Repost)

Posted By: AvaxGenius
Date: 9 Apr 2021 15:28:24
Spectral Theory and Quantum Mechanics, Second Edition (Repost)

Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation by Valter Moretti
English | PDF | 2017 | 962 Pages | ISBN : 3319707051 | 9.5 MB

This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory.
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Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile

Posted By: roxul
Date: 13 Nov 2020 07:59:20
Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile

Pablo Miranda, "Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile "
English | ISBN: 3030555550 | 2020 | 280 pages | PDF | 3 MB
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Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm–Liouville Equations

Posted By: roxul
Date: 27 Oct 2020 13:17:42
Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm–Liouville Equations

Christer Bennewitz, "Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm–Liouville Equations "
English | ISBN: 3030590879 | 2020 | 388 pages | PDF | 5 MB
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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Repost)

Posted By: AvaxGenius
Date: 25 Aug 2020 21:52:27
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Repost)

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations By Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze
English | PDF | 2003 | 444 Pages | ISBN : 3034894295 | 35 MB

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics.
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A Primer on Spectral Theory

Posted By: roxul
Date: 5 Jul 2020 09:34:51
A Primer on Spectral Theory

Bernard Aupetit, "A Primer on Spectral Theory "
English | ISBN: 0387973907 | | 208 pages | PDF | 5 MB
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Pseudodifferential Operators and Spectral Theory Ed 2

Posted By: roxul
Date: 19 May 2020 17:39:42
Pseudodifferential Operators and Spectral Theory Ed 2

M.A. Shubin, "Pseudodifferential Operators and Spectral Theory Ed 2"
English | ISBN: 354041195X | 2001 | 300 pages | PDF | 5 MB
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