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math.CV2021★ 4 cited
A new approach to slice analysis via slice topology
X. Dou, M. Jin, G. Ren +1
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show…
math.CV2021
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…