Téléchargez le livre : Integral Equations with Difference Kernels on Finite Intervals

Integral Equations with Difference Kernels on Finite Intervals

Second Edition, Revised and Extended de

Éditeur :

Birkhäuser


Collection :

Operator Theory: Advances and Applications

Paru le : 2015-05-05

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Description

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 thathas 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.
Pages
226 pages
Collection
Operator Theory: Advances and Applications
Parution
2015-05-05
Marque
Birkhäuser
EAN papier
9783319164885
EAN PDF
9783319164892
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
22
Taille du fichier
2079 Ko
Prix
52,74 €

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