288 citations · 438 across the 34 of their papers we have counts for
16 papers · 1 filter
n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces
Tao Qian
By making a seminal use of the maximum modulus principle of holomorphic functions we prove existence of -best kernel approximation for a wide class of reproducing kernel Hilbert…
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels
Fabrizio Colombo, Antonino De Martino, Tao Qian +1
The Fueter-Sce-Qian (FSQ for short) mapping theorem is a two-steps procedure to extend holomorphic functions of one complex variable to slice monogenic functions and to monogenic f…
Adaptive Fourier decomposition of slice regular functions
Ming Jin, Ieng Tak Leong, Tao Qian +1
In the slice Hardy space over the unit ball of quaternions, we introduce the slice hyperbolic backward shift operator with the decomposition process $$f=e_a\langle f…
A Novel Fourier Theory on Non-linear Phases and Applications
Tao Qian
Positive time varying frequency representation for transient signals has been a hearty desire of signal analysts due to its theoretical and practical importance. During approximate…
Further Aspects of the Fueter Mapping Theorem
Baohua Dong, Tao Qian
In this paper we first show that for being even the images of the Fueter mapping, as monogenic functions, like for the odd cases proved through computation on the pointwise…
An Enhancement Algorithm of Cyclic Adaptive Fourier Decomposition
Tao Qian, Jianzhong Wang
The paper investigates the complex gradient descent method (CGD) for the best rational approximation of a given order to a function in the Hardy space on the unit disk. It is equiv…