1 citations · 2 across the 8 of their papers we have counts for
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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…