3 edition of **Inverse problems and spectral theory** found in the catalog.

Inverse problems and spectral theory

Workshop on Spectral Theory of Differential Operators and Inverse Problems (2002 Kyoto University)

- 248 Want to read
- 27 Currently reading

Published
**2004**
by American Mathematical Society in Providence, R.I
.

Written in English

- Differential operators -- Congresses,
- Spectral theory (Mathematics) -- Congresses,
- Inverse problems (Differential equations) -- Congresses

**Edition Notes**

Includes bibliographical references

Statement | Hiroshi Isozaki, editor |

Genre | Congresses |

Series | Contemporary mathematics -- 348, Contemporary mathematics (American Mathematical Society) -- v. 348 |

Contributions | Isozaki, Hiroshi, 1950- |

Classifications | |
---|---|

LC Classifications | QA329.4 .W67 2002 |

The Physical Object | |

Pagination | ix, 243 p. : |

Number of Pages | 243 |

ID Numbers | |

Open Library | OL15463004M |

ISBN 10 | 0821834215 |

LC Control Number | 2004043758 |

Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual Edition: 1. 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 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 5/5(1).

The Weyl matrix is introduced and studied as a spectral characteristic. The second part of the book is devoted to solving incomplete inverse problems when a priori information about the operator or its spectrum is available and these problems are significant in applications. Inverse Spectral Problems The displacement, y(x,t), at position x and time t of a vibrating string of length L, tension See the book of Kirsch and the book of Po¨schel and Trubowitz. If we increase the dimension, the problem becomes a lot harder. Inverse spectral problem for analytic plane domains II: domains with one symmetry, preprint.

Inverse spectral problems arise in the problem of determining the structure of the earth from the vibrations induced by earthquakes, and in the problem of designing structures such as the space station, where certain resonant frequencies are to be avoided. This book grew out of a series of lectures on inverse problems that Lassi. This monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent 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 Chapter1the method of.

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This book presents the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way.

An outline of the theory of ill-posed problems is given, because inverse problems are often ill-posed. There are many novel features in this book. Buy Inverse Problems and Spectral Theory: Proceedings of the Workshop on Spectral Theory of Differential Operators and Inverse Problems, October Institute for (Contemporary Mathematics) on FREE SHIPPING on qualified orders.

Its aim ist topresent 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 Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator.

The main inverse spectral problems have been solved already for Schrödinger operators and for their finite-difference analogues, Jacobi matrices. This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations.

However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical problems.

Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following. Such problems are important in the identification of flying objects (airplanes, missiles etc.) objects immersed in water (submarines, fish) and in many other situations.

This book presents the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way. This book presents the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way.

Inverse problems and spectral theory book outline of the theory of ill-posed problems is given, because inverse problems are often ill-posed. An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences Book ) - Kindle edition by Kirsch, Andreas.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences Book 4/4(1).

This volume contains the proceedings of two conferences on Inverse Problems and Applications, held into celebrate the work of Gunther Uhlmann. The first conference was held at the University of California, Irvine, from June, and the second was held at Zhejiang University, Hangzhou, China, from SeptemberThe focus of the book is on spectral theory for differential operators and related inverse problems.

It includes selected topics from the following areas: electromagnetism, elasticity, the Schrödinger equation, differential geometry, and numerical analysis. Get this from a library. Inverse problems in the theory of small oscillations.

[V A Marchenko; Victor Slavin] -- Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in. O.H. Hald and J.R. McLaughlin, “Inverse Problems: Recovery of BV Coefficients from Nodes,” Inverse Problems, Vol.

14 (), pp. – zbMATH CrossRef MathSciNet Google Scholar [IT] E.L. Isaacson and E. Trubowitz, “The Inverse Sturm-Liouville Problem I,” Comm. Pure and Appl Math, Vol. 36 (), pp. – zbMATH CrossRef Cited by: Get this from a library.

Inverse problems and spectral theory: proceedings of the Workshop on Spectral Theory of Differential Operators and Inverse Problems, October November 1,Research Institute for Mathematical Science, Kyoto University, Kyoto, Japan.

[Hiroshi Isozaki;]. Prof Igor Trushin belongs to the group of the leading researchers in the field of inverse and spectral problems.

He has authored one book and 23 refereed papers devoted to the topic of these lectures. In addition, he is a referee to the 7 specialized journals for more than 25 years. He is a leading researcher on inverse problems on graphs. This monograph deals with inverse problems of spectral analysis for ordinary differential equations and aims 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 book consists of three chapters and opens with the method of spectral.

into inverse boundary spectral problems and xed frequency inverse problems. Fixed frequency inverse problems use boundary measure-ments at a nite number of frequencies. Moreover, the vast majority ofresults forthese problemsare obtainedwhenthe frequencyisequal to 0, i.e., for the static case.

These problems go back to the famous. This book is a new edition of a title originally published in No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities.

The second part of the book presents three special nonlinear inverse problems in detail - the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem.

The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Available in: importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has. Due to COVID, orders may be delayed.

Thank you for your patience. Book Awards Book Club Selections Books by Author Books by Series Coming Soon Kids' Books New Releases Teens' Books This Price: $ The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics.

We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and.

6 Inverse spectral and scattering problems Direct Sturm-Liouville problem on a finite interval Inverse Sturm-Liouville problems on a finite interval The Gelfand-Levitan method on a finite interval Inverse scattering problems Inverse scattering problems in the time domain Pages: Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval.

The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the.Of course "spectral theory" means different things to different people, depending on what they plan on doing with it.

As the title suggests, Reed and Simon is in principle aimed at mathematical physicists (quantum mechanics, etc) but it is an honest mathematics textbook (all .