Zobrazeno 1 - 10
of 220
pro vyhledávání: '"Baratchart, L."'
Let $ D $ be a bounded Jordan domain and $ A $ be its complement on the Riemann sphere. We investigate the $ n $-th root asymptotic behavior in $ D $ of best rational approximants, in the uniform norm on $ A $, to functions holomorphic on $ A $ havin
Externí odkaz:
http://arxiv.org/abs/2405.16308
Inverse problems arising in (geo)magnetism are typically ill-posed, in particular {they exhibit non-uniqueness}. Nevertheless, there exist nontrivial model spaces on which the problem is uniquely solvable. Our goal is here to describe such spaces tha
Externí odkaz:
http://arxiv.org/abs/2103.05999
For $\partial \Omega$ the boundary of a bounded and connected strongly Lipschitz domain in $\mathbb{R}^{d}$ with $d\geq3$, we prove that any field $f\in L^{2} (\partial \Omega ; \mathbb{R}^{d})$ decomposes, in an unique way, as the sum of three silen
Externí odkaz:
http://arxiv.org/abs/2009.05337
We show that a divergence-free measure on the plane is a continuous sum of unit tangent vector fields on rectifiable Jordan curves. This loop decomposition is more precise than the general decomposition in elementary solenoids given by S.K. Smirnov,
Externí odkaz:
http://arxiv.org/abs/2006.09072
Publikováno v:
Mashreghi, Javad, Manolaki, Myrto, Gauthier, Paul M. New Trends in Approximation Theory. In Memory of Andr\'e Boivin, 81, 2017, Fields Institute Communications
We study best approximation to a given function, in the least square sense on a subset of the unit circle, by polynomials of given degree which are pointwise bounded on the complementary subset. We show that the solution to this problem, as the degre
Externí odkaz:
http://arxiv.org/abs/1710.10808
We use nowdays classical theory of generalized moment problems by Krein-Nudelman [1977] to define a special class of stochastic Gaussian processes. The class contains, of course, stationary Gaussian processes. We obtain a spectral representation for
Externí odkaz:
http://arxiv.org/abs/1007.1363
Classical Schur analysis is intimately connected to the theory of orthogonal polynomials on the circle [Simon, 2005]. We investigate here the connection between multipoint Schur analysis and orthogonal rational functions. Specifically, we study the c
Externí odkaz:
http://arxiv.org/abs/0812.2050
We consider the problem of approximation of matrix functions of class $L^p$ on the unit circle by matrix functions analytic in the unit disk in the norm of $L^p$, $2\le p<\be$. For an $m\times n$ matrix function $\Phi$ in $L^p$, we consider the Hanke
Externí odkaz:
http://arxiv.org/abs/0805.4366
Autor:
Baratchart, L., Yattselev, M.
Publikováno v:
J. Approx. Theory, 156(2), 187-211, 2009
We study diagonal multipoint Pad\'e approximants to sums of a Cauchy transform of a complex measure and a rational function. The measure is assumed to have compact regular support included into the real line and an argument of bounded variation on th
Externí odkaz:
http://arxiv.org/abs/0804.2206
Autor:
BARATCHART, L., GERHARDS, C.
Publikováno v:
SIAM Journal on Applied Mathematics, 2017 Jan 01. 77(5), 1756-1780.
Externí odkaz:
https://www.jstor.org/stable/45093391
