6 citations · 6 across the 7 of their papers we have counts for
10 papers
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder +3
The well-known proof of Beurling's Theorem in the Hardy space , which describes all shift-invariant subspaces, rests on calculating the orthogonal projection of the unit const…
Interactions between Universal Composition Operators and Complex Dynamics
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki
This paper is concerned with universality properties of composition operators , where the symbol is given by a transcendental entire function restricted to parts of its Fa…
Invariance of Abel universality under composition and applications
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dil…
Abel universal functions: boundary behaviour and Taylor polynomials
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dila…
A strong form of Plessner's theorem
Stephen J. Gardiner, Myrto Manolaki
Let be a holomorphic, or even meromorphic, function on the unit disc. Plessner's theorem then says that, for almost every boundary point , either (i) has a finite nontan…
A function algebra providing new Mergelyan type theorems in several complex variables
Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1
For compact sets , we introduce a subalgebra of , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…
Boundary behavior of optimal polynomial approximants
Catherine Bénéteau, Myrto Manolaki, Daniel Seco
In this paper, we provide an efficient method for computing the Taylor coefficients of , where denotes the optimal polynomial approximant of degree to in a…
Simultaneous zero-free approximation and universal optimal polynomial approximants
Catherine Bénéteau, Oleg Ivrii, Myrto Manolaki +1
Let be a closed subset of the unit circle of measure zero. Recently, Beise and Müller showed the existence of a function in the Hardy space for which the partial sums of…
Boundary behaviour of Dirichlet series with applications to universal series
Stephen J. Gardiner, Myrto Manolaki
This paper establishes connections between the boundary behaviour of functions representable as absolutely convergent Dirichlet series in a half-plane and the convergence propertie…
A convergence theorem for harmonic measures with applications to Taylor series
Stephen J. Gardiner, Myrto Manolaki
Let be a holomorphic function on the unit disc, and be a subsequence of its Taylor polynomials about . It is shown that the nontangential limit of and lim$…