Inverse Spectra

Download Inverse Spectra full books in PDF, epub, and Kindle. Read online Inverse Spectra ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Inverse Spectra

Author : Alex Chigogidze
Publisher : North Holland
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.X/5 (4 download)

DOWNLOAD NOW!

Book Synopsis Inverse Spectra by : Alex Chigogidze

Download or read book Inverse Spectra written by Alex Chigogidze and published by North Holland. This book was released on 1996-03-29 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invited to translate his 1992 book from the Russian, Chigogidze chose instead to produce an updated version. He introduces a powerful method used in various branches of topology and also being applied to functional analysis and algebra. He surveys the Hilbert cube and Hilbert space manifold theories, recent developments of the Menger and Nobeling manifold theories, infinite-dimensional manifolds, cohomological dimensions, the general theory of absolute extensors in dimension n and n-soft mappings, the topology of non-metrizable manifolds, and applications in a number of areas. Annotation copyrighted by Book News, Inc., Portland, OR

An Introduction to Inverse Scattering and Inverse Spectral Problems

Author : Khosrow Chadan
Publisher : SIAM
ISBN 13 : 0898713870
Total Pages : 206 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Inverse Scattering and Inverse Spectral Problems by : Khosrow Chadan

Download or read book An Introduction to Inverse Scattering and Inverse Spectral Problems written by Khosrow Chadan and published by SIAM. This book was released on 1997-01-01 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

An Introduction to Inverse Scattering and Inverse Spectral Problems

Author : Khosrow Chadan
Publisher : SIAM
ISBN 13 : 9780898719710
Total Pages : 208 pages
Book Rating : 4.7/5 (197 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Inverse Scattering and Inverse Spectral Problems by : Khosrow Chadan

Download or read book An Introduction to Inverse Scattering and Inverse Spectral Problems written by Khosrow Chadan and published by SIAM. This book was released on 1997-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

Inverse Spectral and Scattering Theory

Author : Hiroshi Isozaki
Publisher : Springer Nature
ISBN 13 : 9811581991
Total Pages : 130 pages
Book Rating : 4.8/5 (115 download)

DOWNLOAD NOW!

Book Synopsis Inverse Spectral and Scattering Theory by : Hiroshi Isozaki

Download or read book Inverse Spectral and Scattering Theory written by Hiroshi Isozaki and published by Springer Nature. This book was released on 2020-09-26 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schrödinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg–Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg’s S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev–Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-matrix of one fixed energy. One can also prove the equivalence of the knowledge of S-matrix and that of the Dirichlet-to-Neumann map for boundary value problems in bounded domains. We apply this idea also to the Dirac equation, the Maxwell equation, and discrete Schrödinger operators on perturbed lattices. Our final topic is the boundary control method introduced by Belishev and Kurylev, which is for the moment the only systematic method for the reconstruction of the Riemannian metric from the boundary observation, which we apply to the inverse scattering on non-compact manifolds. We stress that this book focuses on the lucid exposition of these problems and mathematical backgrounds by explaining the basic knowledge of functional analysis and spectral theory, omitting the technical details in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis.

Inverse Spectral Theory

Author : Jurgen Poschel
Publisher : Academic Press
ISBN 13 : 0080874495
Total Pages : 209 pages
Book Rating : 4.0/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Inverse Spectral Theory by : Jurgen Poschel

Download or read book Inverse Spectral Theory written by Jurgen Poschel and published by Academic Press. This book was released on 1987-03-16 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Spectral Theory

Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

Author : Manfred Möller
Publisher : Springer Nature
ISBN 13 : 3030604845
Total Pages : 349 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

Book Synopsis Direct and Inverse Finite-Dimensional Spectral Problems on Graphs by : Manfred Möller

Download or read book Direct and Inverse Finite-Dimensional Spectral Problems on Graphs written by Manfred Möller and published by Springer Nature. This book was released on 2020-10-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.

Inverse Problems of Vibrational Spectroscopy

Author : I. V. Kochikov
Publisher : VSP
ISBN 13 : 9789067643047
Total Pages : 316 pages
Book Rating : 4.6/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Inverse Problems of Vibrational Spectroscopy by : I. V. Kochikov

Download or read book Inverse Problems of Vibrational Spectroscopy written by I. V. Kochikov and published by VSP. This book was released on 1999 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Interpretation of Organic Spectra

Author : Yong-Cheng Ning
Publisher : John Wiley & Sons
ISBN 13 : 0470828315
Total Pages : 426 pages
Book Rating : 4.4/5 (78 download)

DOWNLOAD NOW!

Book Synopsis Interpretation of Organic Spectra by : Yong-Cheng Ning

Download or read book Interpretation of Organic Spectra written by Yong-Cheng Ning and published by John Wiley & Sons. This book was released on 2011-04-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are a number of books in this field, most of them lack an introduction of comprehensive analysis of MS and IR spectra, and others do not provide up-to-date information like tandem MS. This book fills the gap. The merit of this book is that the author will not only introduce knowledge for analyzing nuclear magnetic resonance spectra including 1H spectra (Chapter 1), 13C spectra (Chapter 2) and 2D NMR spectra (Chapter 3), he also arms readers systemically with knowledge of Mass spectra (including EI MS spectra and MS spectra by using soft ionizations) (Chapter 4) and IR spectra (Chapter 5). In each chapter the author presents very practical application skills by providing various challenging examples. The last chapter (Chapter 6) provides the strategy, skills and methods on how to identify an unknown compound through a combination of spectra. Based on nearly 40 years researching and teaching experience, the author also proposes some original and creative ideas, which are very practical for spectral interpretation.

Inverse Methods in Action

Author : Pierre C. Sabatier
Publisher : Springer Science & Business Media
ISBN 13 : 3642752985
Total Pages : 645 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis Inverse Methods in Action by : Pierre C. Sabatier

Download or read book Inverse Methods in Action written by Pierre C. Sabatier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique (con tract GR 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I will not try to refer to them all here (the reader will be easily convinced by reading the Table of Contents). My comments at the conference are summarized by the short scientific introduction at the beginning of the volume.

Hausdorff Spectra in Functional Analysis

Author : Eugeny Smirnov
Publisher : Springer Science & Business Media
ISBN 13 : 9781852335717
Total Pages : 230 pages
Book Rating : 4.3/5 (357 download)

DOWNLOAD NOW!

Book Synopsis Hausdorff Spectra in Functional Analysis by : Eugeny Smirnov

Download or read book Hausdorff Spectra in Functional Analysis written by Eugeny Smirnov and published by Springer Science & Business Media. This book was released on 2002-08-09 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained, and collating for the first time material that has until now only been published in journals - often in Russian - this book will be of interest to functional analysts, especially those with interests in topological vector spaces, and to algebraists concerned with category theory. The closed graph theorem is one of the corner stones of functional analysis, both as a tool for applications and as an object for research. However, some of the spaces which arise in applications and for which one wants closed graph theorems are not of the type covered by the classical closed graph theorem of Banach or its immediate extensions. To remedy this, mathematicians such as Schwartz and De Wilde (in the West) and Rajkov (in the East) have introduced new ideas which have allowed them to establish closed graph theorems suitable for some of the desired applications. In this book, Professor Smirnov uses category theory to provide a very general framework, including the situations discussed by De Wilde, Rajkov and others. General properties of the spaces involved are discussed and applications are provided in measure theory, global analysis and differential equations.

Progress in Inverse Spectral Geometry

Author : Stig I. Andersson
Publisher : Birkhäuser
ISBN 13 : 3034889380
Total Pages : 202 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Progress in Inverse Spectral Geometry by : Stig I. Andersson

Download or read book Progress in Inverse Spectral Geometry written by Stig I. Andersson and published by Birkhäuser. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t> O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], especially Chapter 2. To study the spectral functions and their relation to the geometry and topology of X, one could, for example, take the natural associated parabolic problem as a starting point. That is, consider the 'heat equation': (%t + p) u(x, t) = 0 { u(x, O) = Uo(x), tP which is solved by means of the (heat) semi group V(t) = e- ; namely, u(·, t) = V(t)uoU· Assuming that V(t) is of trace class (which is guaranteed, for instance, if P has a positive principal symbol), it has a Schwartz kernel K E COO(X x X x Rt, E* ®E), locally given by 00 K(x, y; t) = L>-IAk(~k ® 'Pk)(X, y), k=O for a complete set of orthonormal eigensections 'Pk E COO(E). Taking the trace, we then obtain: 00 tA Op(t) = trace(V(t)) = 2::>- k. k=O Now, using, e. g., the Dunford calculus formula (where C is a suitable curve around a(P)) as a starting point and the standard for malism of pseudodifferential operators, one easily derives asymptotic expansions for the spectral functions, in this case for Op.

Method of Spectral Mappings in the Inverse Problem Theory

Author : Vacheslav A. Yurko
Publisher : Walter de Gruyter
ISBN 13 : 3110940965
Total Pages : 316 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Method of Spectral Mappings in the Inverse Problem Theory by : Vacheslav A. Yurko

Download or read book Method of Spectral Mappings in the Inverse Problem Theory written by Vacheslav A. Yurko and published by Walter de Gruyter. This book was released on 2013-10-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monograph is devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist to present the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter 1 the method of spectral mappings is presented in the simplest version for the Sturm-Liouville operator. In Chapter 2 the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3 inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied.

Inverse Problems

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
ISBN 13 : 0387232184
Total Pages : 453 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Inverse Problems by : Alexander G. Ramm

Download or read book Inverse Problems written by Alexander G. Ramm and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Inverse and Algebraic Quantum Scattering Theory

Author : Barnabas Apagyi
Publisher : Springer
ISBN 13 : 3662141450
Total Pages : 402 pages
Book Rating : 4.6/5 (621 download)

DOWNLOAD NOW!

Book Synopsis Inverse and Algebraic Quantum Scattering Theory by : Barnabas Apagyi

Download or read book Inverse and Algebraic Quantum Scattering Theory written by Barnabas Apagyi and published by Springer. This book was released on 2013-12-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains three interrelated, beautiful, and useful topics of quantum scattering theory: inverse scattering theory, algebraic scattering theory and supersymmetrical quantum mechanics. The contributions cover such issues as coupled-channel inversions at fixed energy, inversion of pion-nucleon scattering cross-sections into potentials, inversions in neutron and x-ray reflection, 3-dimensional fixed-energy inversion, inversion of electron scattering data affected by dipole polarization, nucleon-nucleon potentials by inversion versus meson-exchange theory, potential reversal and reflectionless impurities in periodic structures, quantum design in spectral, scattering, and decay control, solution hierarchy of Toda lattices, etc.

Inverse problems in vibration

Author : G.M.L. Gladwell
Publisher : Springer Science & Business Media
ISBN 13 : 9401511780
Total Pages : 272 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Inverse problems in vibration by : G.M.L. Gladwell

Download or read book Inverse problems in vibration written by G.M.L. Gladwell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties.

Inverse Problems of Vibrational Spectroscopy

Author : A. G. Yagola
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110943263
Total Pages : 308 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Inverse Problems of Vibrational Spectroscopy by : A. G. Yagola

Download or read book Inverse Problems of Vibrational Spectroscopy written by A. G. Yagola and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-16 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

EPR Spectroscopy

Author : Malte Drescher
Publisher : Springer Science & Business Media
ISBN 13 : 3642283470
Total Pages : 247 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!

Book Synopsis EPR Spectroscopy by : Malte Drescher

Download or read book EPR Spectroscopy written by Malte Drescher and published by Springer Science & Business Media. This book was released on 2011-09-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: EPR Spectroscopy in Catalysis, by Sabine Van Doorslaer und Damien M. Murphy Radicals in Flavoproteins, by Erik Schleicher und Stefan Weber EPR Spectroscopy in Polymer Science, by Dariush Hinderberger EPR in Protein Science, by Intrinsically Disordered Proteins, by Malte Drescher Site-Directed Spin Labeling of Membrane Proteins, by Enrica Bordignon Structure and Dynamics of Nucleic Acids, by Ivan Krstić, Burkhard Endeward, Dominik Margraf, Andriy Marko und Thomas F Prisner New Directions in Electron Paramagnetic Resonance Spectroscopy on Molecular Nanomagnets, by J. van Slageren