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

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Sakhnovich, Lev A. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edition:2nd ed. 2015.
Series:Operator Theory: Advances and Applications, 84
Subjects:
Integral equations.
Operator theory.
Probabilities.
Integral Equations.
Operator Theory.
Probability Theory.
Online Access:Texto Completo
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.

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