6 citations · 15 across the 14 of their papers we have counts for
17 papers
Frame Vector Group Representations and Amenability Properties
Dorin Ervin Dutkay, Catalin Georgescu, Gabriel Picioroaga
We provide a new characterization of amenability for countable groups, based on frame representations admitting almost invariant vectors. By relaxing the frame inequalities, thereb…
Musical Systems with -- Cayley Graphs
Gabriel Picioroaga, Olivia Roberts
We apply geometric group theory to study and interpret known concepts from Western music. We show that chords, the circle of fifths, scales and certain aspects of the first species…
Parseval Frames from Compressions of Cuntz Algebras
Nicholas Christoffersen, Dorin Ervin Dutkay, Gabriel Picioroaga +1
A row co-isometry is a family of operators on a Hilbert space, subject to the relation As shown in \cite{BJK00}, row co-isometri…
On generalized Walsh bases
Dorin Ervin Dutkay, Gabriel Picioroaga, Sergei Silvestrov
This paper continues the study of orthonormal bases (ONB) of introduced in \cite{DPS14} by means of Cuntz algebra representations on . For $N=2…
Fourier Frames for the Cantor-4 Set
Gabriel Picioroaga, Eric S. Weber
The measure supported on the Cantor-4 set constructed by Jorgensen-Pedersen is known to have a Fourier basis, i.e. that it possess a sequence of exponentials which form an orthonor…
Generalized Walsh Bases and Applications
Dorin Dutkay, Gabriel Picioroaga
We investigate convergence properties of generalized Walsh series associated with signals . We also show how the dependence of the generalized Walsh bases on $N\time…