4 papers · 1 filter
A Hardy space approximation supporting zero-free half-planes for the -function
Juan Manzur, Waleed Noor, Gustavo Quintero
An equivalent version of the Báez-Duarte criterion \cite{baez} for the Riemann Hypothesis (RH) by Bagchi states that the RH holds true if and only if the function belo…
Orthogonality questions in the Hardy space related to -zeros
Francisco Calderaro, Juan Manzur, Waleed Noor +1
A Hardy space approach to the Nyman-Beurling and Báez-Duarte criterion for the Riemann Hypothesis (RH) was introduced recently in [18] and further developed in [13]. It states that…
A weighted composition semigroup related to three open problems
Juan Manzur, Waleed Noor, Charles F. Santos
The semi-group of weighted composition operators where \[ W_nf(z)=(1+z+\ldots+z^{n-1})f(z^n) \] on the classical Hardy-Hilbert space of the open unit disk i…
A Hardy space analysis of the Báez-Duarte criterion for the RH
S. Waleed Noor
In this article, methods from sub-Hardy Hilbert spaces such as the de Branges-Rovnyak spaces and local Dirichlet spaces are used to investigate Báez-Duarte's Hilbert space reformul…