Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Salman, Yehonatan"'
Autor:
Salman, Yehonatan
The aim of this article is to show the existence, and also give an explicit construction, of infinite sets of orthogonal exponentials for certain families of convex polytopes which include simple-rational polytopes and also non simple polytopes which
Externí odkaz:
http://arxiv.org/abs/1909.08422
Autor:
Salman, Yehonatan
Let $\Sigma$ be an axially symmetric, smooth, closed hypersurface in $\Bbb R^{n + 1}$ with a simply connected interior which is contained inside the unit sphere $\Bbb S^{n}$. For a continuous function $f$, which is defined on $\Bbb S^{n}$, the main g
Externí odkaz:
http://arxiv.org/abs/1810.06614
We start a systematic study of the topology, geometry and singularities of the Prony varieties $S_q(\mu)$, defined by the first $q+1$ equations of the classical Prony system $$\sum_{j=1}^d a_j x_j^k = \mu_k, \ k= 0,1,\ldots \ .$$ Prony varieties, bei
Externí odkaz:
http://arxiv.org/abs/1806.02204
The paper is devoted to the characterization of the geometry of Prony curves arising from spike-train signals. We give a sufficient condition which guarantees the blowing up of the amplitudes of a Prony curve S in case where some of its nodes tend to
Externí odkaz:
http://arxiv.org/abs/1803.01685
Autor:
Salman, Yehonatan
In this paper we deal with the problem of recovering functions from their spherical mean transform $\mathcal{R}$, which integrates functions on circles in the plane, in case where the centers of the circles of integration are located on a parabola $\
Externí odkaz:
http://arxiv.org/abs/1801.09512
Autor:
Salman, Yehonatan
The aim of this paper is to present inversion methods for the classical Radon transform which is defined on a family of $k$ dimensional planes in $\Bbb R^{n}$ where $1\leq k\leq n - 2$. For these values of $k$ the dimension of the set $\mathcal{H}(n,
Externí odkaz:
http://arxiv.org/abs/1801.05838
This is a survey paper discussing one specific (and classical) system of algebraic equations - the so called "Prony system". We provide a short overview of its unusually wide connections with many different fields of Mathematics, stressing the role o
Externí odkaz:
http://arxiv.org/abs/1801.02177
Autor:
Salman, Yehonatan
In the article [11] of L. Kunyansky a symmetric integral identity for Bessel functions of the first and second kind was proved in order to obtain an explicit inversion formula for the spherical mean transform where our data is given on the unit spher
Externí odkaz:
http://arxiv.org/abs/1708.02303
Autor:
Salman, Yehonatan
The aim of this paper is to introduce a new inversion procedure for re- covering functions, defined on $\Bbb R^{2}$, from the spherical mean transform, which integrates functions on a prescribed family $\Lambda$ of circles, where $\Lambda$ consists o
Externí odkaz:
http://arxiv.org/abs/1705.05679
Autor:
Salman, Yehonatan
The aim of this article is to introduce a method for recovering functions, defined on the $n - 1$ dimensional unit sphere $\Bbb S^{n - 1}$, using their spherical transform, which integrates functions on $n - 2$ dimensional subspheres, on a prescribed
Externí odkaz:
http://arxiv.org/abs/1704.00349