7 citations · 40 across the 27 of their papers we have counts for
27 papers
Polynomial Null Solutions to Bosonic Laplacians, Bosonic Bergman and Hardy Spaces
Chao Ding, Phuoc-Tai Nguyen, John Ryan
A bosonic Laplacian, which is a generalization of Laplacian, is constructed as a second order conformally invariant differential operator acting on functions taking values in irred…
Green's Formulas and Poisson's Equation for Bosonic Laplacians
Chao Ding, John Ryan
A bosonic Laplacian is a conformally invariant second order differential operator acting on smooth functions defined on domains in Euclidean space and taking values in higher order…
The -operator on Some Conformally Flat Manifolds and the Upper Half Space
Wanqing Cheng John Ryan
The -operator, also known as Ahlfors-Beurling transform, plays an important role in solving the existence of locally quasiconformal solutions of Beltrami equations. In this pape…
Boundary value problems in Euclidean space for Bosonic Laplacians
Chao Ding, Phuoc-Tai Nguyen, John Ryan
A bosonic Laplacian is a conformally invariant second order differential operator acting on smooth functions defined on domains in Euclidean space and taking values in higher order…
Some Properties of the Higher Spin Laplace Operator
Chao Ding, John Ryan
The higher spin Laplace operator has been constructed recently as the generalization of the Laplacian in higher spin theory. This acts on functions taking values in arbitrary irred…
Spherical -type Operators in Clifford Analysis and Applications
Wanqing Cheng, John Ryan, Uwe Kähler
The -operator (Ahlfors-Beurling transform) plays an important role in solving the Beltrami equation. In this paper we define two -operators on the n-sphere. The first spheric…