Integral Equations with Difference Kernels on Finite Intervals
Language: English
Published by Birkhauser Verlag AG, 2015
Series: Book 91 of 132 - Operator Theory: Advances and Applications
- Hardcover
- New
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Series: Operator Theory: Advances and Applications. Num Pages: 244 pages, 2 black & white illustrations, biography. BIC Classification: PBKF; PBKL; PBT. Category: (G) General (US: Trade). Dimension: 235 x 155 x 16. Weight in Grams: 532. . 2015. 2nd revised and extended ed. Hardback. . . . . Books ship from the US and Ireland.
Seller Inventory # V9783319164885
- Title
- Integral Equations with Difference Kernels on Finite Intervals
- Author
- Sakhnovich, Lev A.
- Publisher
- Birkhauser Verlag AG
- Publication year
- 2015
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319164880
- ISBN 13
- 9783319164885
- Edition
- 2nd Edition
- Series
- Book 91 of 132: Operator Theory: Advances and Applications
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M. Kac problems on stable processes. In this second edition these results are extensively generalized and include the case of all Levy processes. We present the convolution expression for the well-known Ito formula of the generator operator, a convolution expression that has proven to be fruitful. Furthermore we have added a new chapter on triangular representation, which is closely connected with previous results and includes a new important class of operators with non-trivial invariant subspaces. Numerous formulations and proofs have now been improved, and the bibliography has been updated to reflect more recent additions to the body of literature.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M. Kac problems on stable processes. In this second edition these results are extensively generalized and include the case of all Levy processes. We present the convolution expression for the well-known Ito formula of the generator operator, a convolution expression that has proven to be fruitful. Furthermore we have added a new chapter on triangular representation, which is closely connected with previous results and includes a new important class of operators with non-trivial invariant subspaces. Numerous formulations and proofs have now been improved, and the bibliography has been updated to reflect more recent additions to the body of literature.
"About the title" may belong to another edition of this title.
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