Tao Qian

activity

20082022

most citedA precise method for visualizing dispersive features in image plots

288 citations · 438 across the 34 of their papers we have counts for

collaborators

Showing 2017 · math.CVShow all

5 papers · 2 filters

math.CV2017

Hardy Space Decompositions of $L^{p} (R^{n})$ for $0 < p < 1$ with Rational Approximation

Guantie Deng, Haichou Li, Tao Qian

This paper aims to obtain decompositions of higher dimensional $L^{p} (R^{n})$ functions into sums of non-tangential boundary limits of the corresponding Hardy space functions…

math.CV2017★ 1 cited

Hilbert Transformation and $r Spin (n) + R^{n}$ 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…

math.CV2017★ 4 cited

Hilbert Transformation and Representation of ax+b Group

Pei Dang, Hua Liu, Tao Qian

In this paper we study the Hilbert transformations over $L^{2} (R)$ and $L^{2} (T)$ from the viewpoint of symmetry. For a linear operator over $L^{2} (R)$ commuta…

math.CV2017★ 1 cited

Fourier Spectrum Characterizations of Clifford $H^{p}$ Spaces on $R_{+}^{n + 1}$ for $1 \leq p \leq \infty$

Pei Dang, Weixiong Mai, Tao Qian

This article studies the Fourier spectrum characterization of functions in the Clifford algebra-valued Hardy spaces $H^{p} (R_{+}^{n + 1}), 1 \leq p \leq \infty.$ Namely, for $f\in…

math.CV2017★ 4 cited

Hardy-Hodge Decomposition of Vector Fields in $R n$

Laurent Baratchart, Pei Dang, Tao Qian

We prove that a $I R n + 1$ -valued vector field on IR n is the sum of the traces of two harmonic gradients, one in each component of $I R n + 1 I R n$ , and of a $I R n$ -valued divergenc…

Hardy Space Decompositions of Lp(Rn) for 0<p<1 with Rational Approximation

Hilbert Transformation and rSpin(n)+Rn Group

Hilbert Transformation and Representation of ax+b Group

Fourier Spectrum Characterizations of Clifford Hp Spaces on R+n+1​ for 1≤p≤∞

Hardy-Hodge Decomposition of Vector Fields in Rn

Hardy Space Decompositions of $L^{p} (R^{n})$ for $0 < p < 1$ with Rational Approximation

Hilbert Transformation and $r Spin (n) + R^{n}$ Group

Fourier Spectrum Characterizations of Clifford $H^{p}$ Spaces on $R_{+}^{n + 1}$ for $1 \leq p \leq \infty$

Hardy-Hodge Decomposition of Vector Fields in $R n$