We consider the problem of the optimal recovery of harmonic functions in the ball from inaccurate information on the Radon transform. Presented are the error of the optimal recovery and the set of optimal methods for which this error is attained. © 2015, Pleiades Publishing, Ltd
Abstract. In this paper the problem of optimal recovery of the wave equation solution by inaccurate ...
We consider an optimal recovery problem for the k-th derivative of the function on an interval from ...
The problem of statistically optimal reconstruction of a signal based on its arbitrary linear projec...
We consider the problem of the optimal recovery of harmonic functions in the ball from inaccurate in...
Consider the Hardy space h_2 of functions harmonic in the unit ball Bbb B^{d}subsetBbb R^d, with nor...
Summary (translated from the Russian): "We consider the problem of the optimal reconstruction of a f...
We consider the optimal recovery of the βth degree of the Laplacian value on a function from the inf...
AbstractWe consider some problems of optimal recovery of holomorphic and harmonic functions in the u...
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit ...
In this paper we consider optimal recovery of the B-ellipticoperator with its powers of a smooth fun...
Optimal methods are constructed for recovering functions and their derivatives in a Sobolev class of...
Abstract—We provide conditions for exact reconstruction of a bandlimited function from irregular pol...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
Describing the solutions of inverse problems arising in signal or image processing is an important i...
This article provides a framework to regularize operator equations of the rst kind where the underly...
Abstract. In this paper the problem of optimal recovery of the wave equation solution by inaccurate ...
We consider an optimal recovery problem for the k-th derivative of the function on an interval from ...
The problem of statistically optimal reconstruction of a signal based on its arbitrary linear projec...
We consider the problem of the optimal recovery of harmonic functions in the ball from inaccurate in...
Consider the Hardy space h_2 of functions harmonic in the unit ball Bbb B^{d}subsetBbb R^d, with nor...
Summary (translated from the Russian): "We consider the problem of the optimal reconstruction of a f...
We consider the optimal recovery of the βth degree of the Laplacian value on a function from the inf...
AbstractWe consider some problems of optimal recovery of holomorphic and harmonic functions in the u...
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit ...
In this paper we consider optimal recovery of the B-ellipticoperator with its powers of a smooth fun...
Optimal methods are constructed for recovering functions and their derivatives in a Sobolev class of...
Abstract—We provide conditions for exact reconstruction of a bandlimited function from irregular pol...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
Describing the solutions of inverse problems arising in signal or image processing is an important i...
This article provides a framework to regularize operator equations of the rst kind where the underly...
Abstract. In this paper the problem of optimal recovery of the wave equation solution by inaccurate ...
We consider an optimal recovery problem for the k-th derivative of the function on an interval from ...
The problem of statistically optimal reconstruction of a signal based on its arbitrary linear projec...
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