Search Results - "KATSEVICH, A. I"

Local tomography with nonsmooth attenuation by Katsevich, A. I.

“…Local tomography for the Radon transform with nonsmooth attenuation is proposed and justified. The main theoretical tool is analysis of singularities of…”
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Local Reconstructions in Exponential Tomography by Katsevich, A.I.

“…In this paper, pseudolocal and local approaches to the tomographic reconstruction of discontinuities of an unknown functionffrom its exponential Radon…”
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Approximate Solution to Inverse Scattering Problem for Potentials With Small Support by Katsevich, A. I., Ramm, A. G.

“…Let q(x) be a real‐valued function with compact support D⊂ℝ3. Given the scattering amplitude A(α′, α, k) for all α′, α∈S2 and a fixed frequency k>0, the…”
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Local Tomography for the Limited-Angle Problem by Katsevich, A.I.

“…We investigate local tomography in the case of limited-angle data. The main theoretical tool is analysis of the singularities of pseudodifferential operators…”
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Interpolation method for transient electromagnetic fields by ZHDANOV, M. S, FRENKEL, M. A, KATSEVICH, A. I

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Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend by Katsevich, A. I., Ramm, A. G.

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A method of physical approximation of the electromagnetic field by Frenkel, Michael A., Katsevich, Alexander I.

“…Consideration is given to the accuracy of various linear transformations (LT) of a two-dimensional transient electromagnetic (EM) field, measured on a certain…”
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Nonparametric Estimation of the Singularities of a Signal from Noisy Measurements by Katsevich, A. I., Ramm, A. G.

“…We study a problem of locating and estimating singularities of a signal measured with noise on a discrete set of points (fixed-design model). The signal…”
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Local Tomography for the Generalized Radon Transform by Katsevich, Alexander I.

“…Let f be piecewise smooth with only jump discontinuities across$S := \operatorname{singsupp} f$. The asymptotic behavior of Bf near S is obtained. Here B is an…”
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Pseudolocal Tomography by Katsevich, Alexander I., Ramm, Alexander G.

“…Proposed is a pseudolocal tomography concept. A function fdis defined which, on one hand, has locality properties and, on the other hand, preserves locations…”
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Approximate Inverse Geophysical Scattering on a Small Body by Katsevich, Alexander I., Ramm, Alexander G.

“…A rigorous theoretical investigation of an inverse geophysical scattering problem for a small body D characterized by a real-valued function$\nu(z), z \in D…”
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