27 citations · 86 across the 32 of their papers we have counts for
4 papers · 1 filter
A duality principle for groups II: Multi-frames meet super-frames
Radu Balan, Dorin Ervin Dutkay, Deguang Han +2
The duality principle for group representations developed in \cite{DHL-JFA, HL_BLM} exhibits a fact that the well-known duality principle in Gabor analysis is not an isolated incid…
Existence and exactness of exponential Riesz sequences and frames for fractal measures
Dorin Ervin Dutkay, Shahram Emami, Chun-Kit Lai
We study the construction of exponential frames and Riesz sequences for a class of fractal measures on generated by infinite convolution of discrete measures using…
Parseval frames of piecewise constant functions
Dorin Ervin Dutkay, Rajitha Ranasinghe
We present a way to construct Parseval frames of piecewise constant functions for . The construction is similar to the generalized Walsh bases. It is based on iteration o…
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…