288 citations · 438 across the 34 of their papers we have counts for
8 papers · 1 filter
Fast algorithm of adaptive Fourier series
You Gao, Min Ku, Tao Qian
Adaptive Fourier decomposition (AFD, precisely 1-D AFD or Core-AFD) was originated for the goal of positive frequency representations of signals. It achieved the goal and at the sa…
Hardy Space Decompositions of for with Rational Approximation
Guantie Deng, Haichou Li, Tao Qian
This paper aims to obtain decompositions of higher dimensional functions into sums of non-tangential boundary limits of the corresponding Hardy space functions…
Hilbert Transformation and Group
Pei Dang, Hua Liu, Tao Qian
In this paper we study symmetry properties of the Hilbert transformation of several real variables in the Clifford algebra setting. In order to describe the symmetry properties we…
Hilbert Transformation and Representation of ax+b Group
Pei Dang, Hua Liu, Tao Qian
In this paper we study the Hilbert transformations over and from the viewpoint of symmetry. For a linear operator over commuta…
Fourier Spectrum Characterizations of Clifford Spaces on for
Pei Dang, Weixiong Mai, Tao Qian
This article studies the Fourier spectrum characterization of functions in the Clifford algebra-valued Hardy spaces Namely, for $f\in…
Aspects of 2D-Adaptive Fourier Decompositions
You Gao, Tao Qian, Vladimir Temlyakov +1
As a new type of series expansion, the so-called one-dimensional adaptive Fourier decomposition (AFD) and its variations (1D-AFDs) have effective applications in signal analysis an…