Inverse Problems in the Theory of Small Oscillations
Language: English
Published by American Mathematical Society, US, 2018
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 151.53
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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 spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrodinger 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 of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrodinger operators, where only the class of tridiagonal Hermitian matrices are considered.…
Seller Inventory # LU-9781470448905
- Title
- Inverse Problems in the Theory of Small Oscillations
- Author
- Victor Slavin, Vladimir Marchenko
- Publisher
- American Mathematical Society, US
- Publication year
- 2018
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1470448904
- ISBN 13
- 9781470448905
- Item weight
- 448 grams
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 of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrodinger operators, where only the class of tridiagonal Hermitian matrices are considered.
"Synopsis" may belong to another edition of this title.
About the Author
Victor Slavin, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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