Ebook: Integral Equations with Difference Kernels on Finite Intervals
Author: Lev A. Sakhnovich (auth.)
- Tags: Mathematics general
- Series: Advances and Applications 84
- Year: 1996
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-vi
Introduction....Pages 1-6
An Invertible Operator with a Difference Kernel....Pages 7-36
Equations of the First Kind with a Difference Kernel....Pages 37-60
Examples and Applications....Pages 61-94
Eigensubspaces and Fourier Transform....Pages 95-105
Operator Bezoutiant and Roots of Entire Functions....Pages 107-117
Operator Identities and Systems of Equations with W -Difference Kernels....Pages 119-133
Integral Equations in the Theory of Stable Processes....Pages 135-151
Problems of Communication Theory....Pages 153-164
Back Matter....Pages 165-178
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.
Content:
Front Matter....Pages i-vi
Introduction....Pages 1-6
An Invertible Operator with a Difference Kernel....Pages 7-36
Equations of the First Kind with a Difference Kernel....Pages 37-60
Examples and Applications....Pages 61-94
Eigensubspaces and Fourier Transform....Pages 95-105
Operator Bezoutiant and Roots of Entire Functions....Pages 107-117
Operator Identities and Systems of Equations with W -Difference Kernels....Pages 119-133
Integral Equations in the Theory of Stable Processes....Pages 135-151
Problems of Communication Theory....Pages 153-164
Back Matter....Pages 165-178
....