Lev A. Sakhnovich

Integral Equations with Difference Kernels on Finite Intervals (eBook, PDF)

• Format: PDF

Produktbeschreibung

Optimal synthesis, light scattering, and diffraction on a ribbon are just some of the applied problems for which integral equations with difference kernels are employed. The same equations are also met in important mathematical problems such as inverse spectral problems, nonlinear integral equations, and factorization of operators.

On the basis of the operator identity method, the theory of integral operators with difference kernels is developed here, and the connection with many applied and theoretical problems is studied. A number of important examples are analyzed.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 184
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783034889865
• Artikelnr.: 53084932

Inhaltsangabe

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.

Rezensionen

"This monograph consists of 11 chapters, it is dedicated to the analysis of integral equations ... . The monograph can be useful for researchers, undergraduate and graduate students in applied mathematics, whose research area is related to application of integral equations." (Alexander N. Tynda, zbMATH 1334.45001, 2016)