Integral Equations with Difference Kernels on Finite Intervals: Second Edition, Revised and Extended: 84 (Operator Theory: Advances and Applications, 84) - Tapa dura

Libro 91 de 132: Operator Theory: Advances and Applications

Sakhnovich, Lev A.

 
9783319164885: Integral Equations with Difference Kernels on Finite Intervals: Second Edition, Revised and Extended: 84 (Operator Theory: Advances and Applications, 84)
Tapa dura
ISBN 10: 3319164880 ISBN 13: 9783319164885
Editorial: Birkhäuser, 2015

Sinopsis

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.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2015
Idioma
Inglés
ISBN 10 
3319164880
ISBN 13 
9783319164885
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
246
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Otras ediciones populares con el mismo título

9783319307633: Integral Equations with Difference Kernels on Finite Intervals: Second Edition, Revised and Extended: 84 (Operator Theory: Advances and Applications)

Edición Destacada

ISBN 10:  3319307630 ISBN 13:  9783319307633
Editorial: Birkhäuser, 2015
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