28 citations · 105 across the 20 of their papers we have counts for
6 papers · 1 filter
Iterated and Mixed Weak Norms with Applications to Geometric Inequalities
Ting Chen, Wenchang Sun
In this paper, we consider a new weak norm, iterated weak norm in Lebesgue spaces with mixed norms. We study properties of the mixed weak norm and the iterated weak norm and presen…
Phaseless Sampling and Linear Reconstruction of Functions in Spline Spaces
Wenchang Sun
We study phaseless sampling in spline spaces generated by B-splines with arbitrary knots. For real spline spaces, we give a necessary and sufficient condition for a sequence of sam…
Frame Phase-retrievability and Exact phase-retrievable frames
Deguang Han, Ted Juste, Youfa Li +1
An exact phase-retrievable frame for an -dimensional Hilbert space is a phase-retrievable frame that fails to be phase-retrievable if any one element is remo…
Local and Global Phaseless Sampling in Real Spline Spaces
Wenchang Sun
We study the recovery of functions in real spline spaces from unsigned sampled values. We consider two types of recovery. The one is to recover functions locally from finitely many…
A New Formula for the Inverse Wavelet Transform
Wenchang Sun
Finding a computationally efficient algorithm for the inverse continuous wavelet transform is a fundamental topic in applications. In this paper, we show the convergence of the inv…
G-frames and G-Riesz Bases
Wenchang Sun
G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors…