5 citations · 14 across the 10 of their papers we have counts for
6 papers · 1 filter
On universality and convergence of the Fourier series of functions in the disc algebra
Christos Papachristodoulos, Michael Papadimitrakis
We construct functions in the disc algebra with pointwise universal Fourier series on sets which are G-delta and dense and at the same time with Fourier series whose set of diverge…
Interpolation and sampling for analytic selfmappings of the disc
Nacho Monreal Galan, Michael Papadimitrakis
Two different problems are considered here. First, a version of Schwarz-Pick Lemma for points leads to an interpolation problem for analytic functions from the disc into itself…
Continuity of weighted estimates for sublinear operators
Michael Papadimitrakis, Nikolaos Pattakos
In this note we prove that if a sublinear operator T satisfies a certain weighted estimate in the space for all , , then the operator norm of T…
Singular Oscillatory Integrals on R^n
M. Papadimitrakis, I. R. Parissis
Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1. Usi…
A class of non-convex polytopes that admit no orthonormal basis of exponentials
Mihail N. Kolountzakis, Michael Papadimitrakis
A conjecture of Fuglede states that a bounded measurable set D, of measure 1, can tile space by translations if and only if the Hilbert space L^2(D) has an orthonormal basis consis…
The Steinhaus tiling problem and the range of certain quadratic forms
Mihail N. Kolountzakis, Michael Papadimitrakis
We give a short proof of the fact that there are no measurable subsets of Euclidean space (in dimension d > 2), which, no matter how translated and rotated, always contain exactly…