most citedHolomorphic functions and regular quaternionic functions on the hyperkähler space H

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

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math.CV2007★ 7 cited

Holomorphic functions and regular quaternionic functions on the hyperkähler space H

Alessandro Perotti

Let H be the space of quaternions, with its standard hypercomplex structure. Let R(D) be the module of regular functions on D. For every unitary vector p in S^2, R(D) contains the…

math.CV2006★ 1 cited

Quaternionic regularity and the dibar-Neumann problem in C^2

Alessandro Perotti

Let D be a domain in the quaternionic space H. We prove a differential criterion that characterizes Fueter-regular quaternionic functions f:bD -> H of class C^1. We find differenti…