4 citations · 4 across the 8 of their papers we have counts for
6 papers · 1 filter
A Land of Oblique Duality for Frames and Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
Functions or distributions used to sample and to reconstruct signals often occur in different domains, like the Dirac delta and a band-limited bump function in classical sampling.…
Approximately Dual and Pseudo-Dual Probabilistic Frames
Dongwei Chen, Emily J. King, Clayton Shonkwiler
This paper studies properties of dual probabilistic frames -- in particular in relation to redundancy -- and introduces both approximately dual probabilistic frames and pseudo-dual…
-Homogeneous Equiangular Tight Frames
Emily J. King
We consider geometric and combinatorial characterizations of equiangular tight frames (ETFs), with the former concerning homogeneity of the vector and line symmetry groups and the…
The impossibility of extending the Naimark complement
Emily J. King, Dustin G. Mixon
We show that there is no extension of the Naimark complement to arbitrary frames that satisfies three fundamental properties of the Naimark complement of Parseval frames.
The density of Gabor systems in expansible locally compact abelian groups
Emily King, Rocio Nores, Victoria Paternostro
We investigate the reproducing properties of Gabor systems within the context of expansible groups. These properties are established in terms of density conditions. The concept of…
On orthogonal -adic wavelet bases
S. Evdokimov, M. Skopina
A variety of different orthogonal wavelet bases has been found in L_2(R) for the last three decades. It appeared that similar constructions also exist for functions defined on some…