About the supports in the Fredholm convolution
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Anatoly Fedorovich Voronin
Abstract
This paper considers homogeneous equation of convolution type of the first kind on a finite interval. An analogue of the well-known Titchmarsh theorem on supports in convolution is obtained. The results of the work were obtained under the condition that the kernel function in the integral operator is equal to zero in the neighborhood of zero.
Funding statement: The work was carried out with the financial support of the Fundamental scientific research of the IM SB RAS (project FWNF-2022-0009).
References
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Artikel in diesem Heft
- Frontmatter
- Determination of lower order perturbations of a polyharmonic operator in two dimensions
- About the supports in the Fredholm convolution
- An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing
- A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling
- Inverse problems for the eigenparameter Dirac operator with complex weight
- Recovery analysis for the ℓ p /ℓ1 minimization problem
- Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function
- On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain
Artikel in diesem Heft
- Frontmatter
- Determination of lower order perturbations of a polyharmonic operator in two dimensions
- About the supports in the Fredholm convolution
- An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing
- A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling
- Inverse problems for the eigenparameter Dirac operator with complex weight
- Recovery analysis for the ℓ p /ℓ1 minimization problem
- Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function
- On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain
