20 citations · 24 across the 11 of their papers we have counts for
5 papers · 1 filter
Reproducing kernels of some weighted Bergman spaces
Guan-Tie Deng, Yun Huang, Tao Qian
Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergma…
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley-Wiener Type
Pei Dang, Weixiong Mai, Tao Qian
In the Clifford algebra setting the present study develops three reproducing kernel Hilbert spaces of the Paley-Wiener type, namely the Paley-Wiener spaces, the Hardy spaces on str…
Sparse Approximation to the Dirac-δ Distribution
Wei Qu, Tao Qian, Guan-Tie Deng
The Dirac-δ distribution may be realized through sequences of convlutions, the latter being also regarded as approximation to the identity. The present study proposes the so called…
A Sparse Representation of Random Signals
Tao Qian
Studies of sparse representation of deterministic signals have been well developed. Amongst there exists one called adaptive Fourier decomposition (AFD) established through adaptiv…
A sufficient condition for n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces
Wei Qu, Tao Qian, Guan-Tie Deng
We show that if a reproducing kernel Hilbert space consisting of functions defined on enjoys Double Boundary Vanishing Condition (DBVC) and Linear Independent Con…