Integral Equations with Difference Kernels on Finite Intervals Second Edition, Revised and Extended /

• Main Author: Sakhnovich, Lev A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 2nd revised and extended ed. 2015.
• Series: Operator Theory: Advances and Applications, 84
• Subjects: Mathematics.; Integral equations.; Operator theory.; Probabilities.; Integral Equations.; Operator Theory.; Probability Theory and Stochastic Processes.

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...

Table of Contents:

• Preface to the second edition
• Introduction to the first edition
• 1.Invertible Operator with a Difference Kernel
• 2.Equations of the First Kind with a Difference Kernel
• 3.Examples and Applications
• 4.Eigensubspaces and Fourier Transform
• 5.Integral Operators with W-Difference Kernels
• 6.Problems of Communication Theory
• 7.Levy Processes: Convolution-Type Form of the Infinitesimal Generator
• 8.On the Probability that the Levy Process (Class II) Remains within the Given Domain
• 9.Triangular Factorization and Cauchy Type Levy Processes
• 10.Levy Processes with Summable Levy Measures, Long Time Behavior
• 11.Open Problems
• Commentaries and Remarks
• Bibliography
• Glossary
• Index.