6 papers
Frames from Functional Calculus
Ilya Krishtal, Javad Mashreghi, Brendan Miller
We introduce frames generated by applying families of functions to a diagonal operator through functional calculus, with diagonal entries forming a Carleson interpolating sequence.…
Block Diagonal Carleson Frames
Ilya Krishtal, Brendan Miller
We introduce \textit{block diagonal Carleson frames}, i.e. singly generated dynamical frames in which the generating operator is block diagonal. We classify all such frames when th…
Gabor duals with minimal L1-norm
Rocío Díaz Martín, Mark Lammers, Brendan Miller +1
It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows…
Demystifying Carleson Frames
Ilya Krishtal, Brendan Miller
We study spanning properties of Carleson systems and prove a recent conjecture on frame subsequences of Carleson frames. In particular, we show that if is a…
Reconstructing Graph Signals from Noisy Dynamical Samples
Akram Aldroubi, Victor Bailey, Ilya Krishtal +2
We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that…
Kadec-type theorems for sampled group orbits
Ilya Krishtal, Brendan Miller
We extend the classical Kadec 1/4 theorem for systems of exponential functions on an interval to frames and atomic decompositions formed by sampling an orbit of a vector under an i…