288 citations · 438 across the 34 of their papers we have counts for
6 papers · 1 filter
Orthogonalization in Clifford Hilbert modules and applications
Jinxun Wang, Tao Qian
We prove that the Gram--Schmidt orthogonalization process can be carried out in Hilbert modules over Clifford algebras, in spite of the un-invertibility and the un-commutativity of…
Pseudo-hyperbolic distance and n-best rational approximation in H^2 space
Tao Qian, Yan-Bo Wang
Through reducing the problem to rational orthogonal system (Takenaka-Malmquist system), this note gives a proof for existence of n-best rational approximation to functions in the H…
The duality about function set and Fefferman-Stein Decomposition
Qixiang Yang, Tao Qian
Let , and be the Euclidean space equipped with the -dimensional Lebesgue measure. In this article, the authors estab…
Clifford Coherent State Transforms on Spheres
Pei Dang, José Mourão, João P. Nunes +1
We introduce a one-parameter family of transforms, , , from the Hilbert space of Clifford algebra valued square integrable functions on the --dimensional sphere,…
Coherent State Transforms and the Weyl Equation in Clifford Analysis
José Mourão, João P. Nunes, Tao Qian
We study a transform, inspired by coherent state transforms, from the Hilbert space of Clifford algebra valued square integrable functions $L^2({\mathbb R}^m,dx)\otimes {\mathbb C}…
The functional calculus based on the -spectrum for quaternionic operators and for -tuples of noncommuting operators
D. Alpay, F. Colombo, T. Qian +1
In this paper we extend the functional calculus to quaternionic operators and to -tuples of noncommuting operators using the theory of slice hyperholomorphic function…