7 papers
Uniform Chebyshev approximations of functions satisfying a variation-type condition: reconstruction of time-varying signals on graphs
Davide Bianchi, Sandra Saliani, Dimitrios Vavitsas
We prove uniform approximation theorems for Chebyshev expansions of continuous functions of two variables. Under a variation-type condition on the square , a continuous f…
An overview of cyclicity in Dirichlet-type spaces in the unit ball
Dimitrios Vavitsas
We shall discuss the characterization of cyclicity of polynomials in Dirichlet-type spaces in the Euclidean unit ball of which remains an open problem.
Boundary zeros of stable polynomials in the unit ball
Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis
We study polynomials in several complex variables that are stable (i.e. they have no zeros in the unit ball ), but vanish on the unit sphere along submanifolds of dim…
Riesz -capacity of Cantor sets and cyclicity in Dirichlet-type spaces
Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis
We examine the threshold of the cyclicity for functions in Dirichlet-type spaces , . Given a fixed , we construct a holomorphic function $f…
Non-cyclicity and polynomials in Dirichlet-type spaces of the unit ball
Dimitrios Vavitsas, Konstantinos Zarvalis
We give a description of the intersection of the zero set with the unit sphere of a zero-free polynomial in the unit ball of . This description leads to the formulati…
A note on cyclic vectors in Dirichlet-type spaces in the unit ball of
Dimitrios Vavitsas
We characterize model polynomials that are cyclic in Dirichlet-type spaces in the unit ball of , and we give a sufficient capacity condition in order to identify non-…
Cyclic polynomials in Dirichlet-type spaces in the unit ball of
Łukasz Kosiński, Dimitrios Vavitsas
We characterize polynomials that are cyclic in Dirichlet-type spaces in the unit ball in