1 citations · 2 across the 8 of their papers we have counts for
9 papers
Quaternionic Reweighted Amplitude Flow for Phase Retrieval in Image Reconstruction
Ren Hu, Pan Lian
Quaternionic signal processing provides powerful tools for efficiently managing color signals by preserving the intrinsic correlations among signal dimensions through quaternion al…
Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions
Qinghai Huo, Pan Lian, Jiajia Si +1
Very recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced to unify the theory of monogenic functions and of slice monogenic funct…
Dunkl approach to slice regular functions
Giulio Binosi, Hendrik De Bie, Pan Lian
In this paper, we establish a connection between Dunkl analysis and slice analysis in the setting of Clifford algebras. Specifically, we show that a Clifford algebra-valued functio…
Carleman estimates for higher step Grushin operators
Hendrik De Bie, Pan Lian
The higher step Grushin operators are a family of sub-elliptic operators which degenerate on a sub-manifold of . This paper establishes Carleman-type inequa…
Radon-type transforms for holomorphic and Hermitian monogenic functions
Ren Hu, Pan Lian
The standard Radon transform of holomorphic functions is not always well defined, as the integration of such functions over planes may not converge. In this paper, we introduce new…
Dunkl intertwining operator for symmetric groups
Hendrik De Bie, Pan Lian
In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type by the Humbert's function , with one variable specified. The ob…
The Dunkl kernel and intertwining operator for dihedral groups
Hendrik De Bie, Pan Lian
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwin…
Weighted composition operator on quaternionic Fock space
Pan Lian, Yu-Xia Liang
In this paper, we study the weighted composition operator on the Fock space $\mf$ of slice regular functions. First, we characterize the boundedness and compactness of the weighted…
The kernel of the generalized Clifford-Fourier transform and its generating function
Pan Lian, Gejun Bao, Hendrik De Bie +1
In this paper, we study the generalized Clifford-Fourier transform introduced in [6] using the Laplace transform technique. We give explicit expressions in the even dimensional cas…