Zobrazeno 1 - 10
of 605
pro vyhledávání: '"Nestoridis"'
Autor:
Konidas, C. A., Nestoridis, V.
It has been shown that the set of universal functions on trees contains a linear subspace except zero, dense in the space of harmonic functions. In this paper we show that the set of universal functions contains two linear subspaces except zero, dens
Externí odkaz:
http://arxiv.org/abs/2210.10028
We examine topological and algebraic genericity and spaceability for any pair $(X,Y)$, $X\subset Y$, $X\neq Y$ belonging to an extended chain of sequence spaces which contains the $\ell^p$ spaces, $0
Externí odkaz:
http://arxiv.org/abs/2110.01088
Recently, harmonic functions and frequently universal harmonic functions on a tree $T$ have been studied, taking values on a separable Fr\'{e}chet space $E$ over the field $\mathbb{C}$ or $\mathbb{R}$. In the present paper, we allow the functions to
Externí odkaz:
http://arxiv.org/abs/2010.02149
We establish generic existence of Universal Taylor Series on products $\Omega = \prod \Omega_i$ of planar simply connected domains $\Omega_i$ where the universal approximation holds on products $K$ of planar compact sets with connected complements pr
Externí odkaz:
http://arxiv.org/abs/2008.06984
In Mergelyan type approximation we uniformly approximate functions on compact sets K by polynomials or rational functions or holomorphic functions on varying open sets containing K. In the present paper we consider analogous approximation, where unif
Externí odkaz:
http://arxiv.org/abs/2006.02389
Autor:
Nestoridis, Vassili
We present the example of l^p spaces, where we examine results of topological and algebraic genericity and spaceability. At the end of the paper we include a project with other chains of spaces, mainly of holomorphic functions, as Hardy spaces on the
Externí odkaz:
http://arxiv.org/abs/2005.01023
Using a recent Mergelyan type theorem for products of planar compact sets we establish generic existence of Universal Taylor Series on products of planar simply connected domains Omegai, i=1, . . . , d. The universal approximation is realized by part
Externí odkaz:
http://arxiv.org/abs/1909.03521
We show that the set of frequently universal harmonic functions on a tree T contains a vector space except 0 which is dense in the space of harmonic functions on T seen as subset of C^T . In order to prove this we replace the complex plane C by any s
Externí odkaz:
http://arxiv.org/abs/1908.09767
Publikováno v:
Proc. Amer. Math. Soc. 2022
We prove the existence of harmonic functions $f$ on trees, with respect to suitable transient transition operators $P$, that satisfy an analogue of Menshov universal property in the following sense: $f$ is the Poisson transform of a martingale on the
Externí odkaz:
http://arxiv.org/abs/1908.05579