Michael Speckbacher
Michael Speckbacher
We study the problem of stable reconstruction of the short-time Fourier transform from samples taken from trajectories in R 2 . We first investigate the interplay between relative density of the trajectory and the reconstruction property....
Ronald R Coifman,Stefan Steinerberger
Ronald R Coifman
It is known that if (p n ) n ∈ℕ is a sequence of orthogonal polynomials in L 2([-1,1],w(x)dx), then the roots are distributed according to an arcsine distribution π -1(1 - x 2)-1 dx for a wide variety of weights w(x). We connect this to ...
A Refinement of the Robertson-Schrödinger Uncertainty Principle and a Hirschman-Shannon Inequality for Wigner Distributions [0.03%]
罗宾森-施罗定理的改进及小世界分布的赫尔希曼-香农不等式
Nuno Costa Dias,Maurice A de Gosson,João Nuno Prata
Nuno Costa Dias
We propose a refinement of the Robertson-Schrödinger uncertainty principle (RSUP) using Wigner distributions. This new principle is stronger than the RSUP. In particular, and unlike the RSUP, which can be saturated by many phase space func...
Markus Faulhuber
Markus Faulhuber
We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or, equivalently, the case of the standard Gaussian and general lattices. We prove that for even redundancy and standard Gaussian window the h...
A Note on the Behavior of the Randomized Kaczmarz Algorithm of Strohmer and Vershynin [0.03%]
关于Strohmer和Vershynin的随机Kaczmarz算法的行为注记
Yair Censor,Gabor T Herman,Ming Jiang
Yair Censor
In a recent paper by T. Strohmer and R. Vershynin ["A Randomized Kaczmarz Algorithm with Exponential Convergence", Journal of Fourier Analysis and Applications, published online on April 25, 2008] a "randomized Kaczmarz algorithm" is propos...