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math.SP2021
Fractional powers of higher order vector operators on bounded and unbounded domains
Luca Baracco, Fabrizio Colombo, Marco M. Peloso +1
Using the -functional calculus for quaternionic operators, we show how to generate the fractional powers of some densely defined differential quaternionic operators of or…
math.CV2021
Testing families of analytic discs in the unit ball
Luca Baracco, Stefano Pinton
Let be three non collinear points such that their mutual joining complex lines do not intersect the unit ball and such that the line through…
math.CV2021
Higher order gradients of monogenic functions
Luca Baracco, Stefano Pinton
Given a monogenic function on the quaternionic algebra , the Clifford algebra or the octonionic algebra we prove that is su…