4 papers
Frames of exponentials and sub-multitiles in LCA groups
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +3
In this note we investigate the existence of frames of exponentials for in the setting of LCA groups. Our main result shows that sub-multitiling properties of $Ω\subset \w…
An Elementary Eigenvalue Criterion for One-Parameter Dilation Groups to Admit a Continuous Wavelet
Netanel Friedenberg, Peter M. Luthy, Guido L. Weiss
In this article, we present a simple criterion for checking whether a one-parameter matrix group of dilations admits a continuous wavelet. This criterion involves only checking tha…
Projections and Dyadic Parseval Frame MRA Wavelets
Peter M. Luthy, Guido L. Weiss, Edward N. Wilson
A classical theorem attributed to Naimark states that, given a Parseval frame in a Hilbert space , one can embed in a larger Hilbert space…
On a Biparameter Maximal Multilinear Operator
Peter Luthy
It is well-known that estimates for maximal operators and questions of pointwise convergence are strongly connected. In recent years, convergence properties of so-called `non-conve…