3 papers
math.FA2025
Cyclic frames in finite-dimensional Hilbert spaces
Ole Christensen, Navneet Redhu, Niraj K. Shukla
Generalizing a definition by Kalra \cite{Kalra}, the purpose of this paper is to analyze cyclic frames in finite-dimensional Hilbert spaces. Cyclic frames form a subclass of the dy…
math.FA2016
Fractional and Complex Pseudo-Splines and the Construction of Parseval Frames
Ole Christensen, Brigitte Forster, Peter Massopust
Pseudo-splines of integer order were introduced by Daubechies, Han, Ron, and Shen as a family which allows interpolation between the classical B-splines and the Daubechi…
math.FA2015
On Gabor frames generated by sign-changing windows and B-splines
Ole Christensen, Hong Oh Kim, Rae Young Kim
For a class of compactly supported windows we characterize the frame property for a Gabor system $\mts,$ for translation parameters belonging to a certain range depending on th…