7 citations · 40 across the 27 of their papers we have counts for
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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…
Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces
Chao Ding, Raymond Walter, John Ryan
This paper completes the construction of arbitrary order conformally invariant differential operators in higher spin spaces. Jan Slovák has classified all conformally invariant dif…
Third Order Fermionic and Fourth Order Bosonic Operators
Chao Ding, Raymond Walter
This paper continues the work of our previous paper [8], where we generalize kth-powers of the Euclidean Dirac operator D_x to higher spin spaces in the case the target space is a…