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math.CV2023
The -exponential as a covering map
Amedeo Altavilla, Samuele Mongodi
We employ tools from complex analysis to construct the -logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute…
math.CV2023
Sharp subelliptic estimates in the -Neumann problem via an uncertainty principle
Gian Maria Dall'Ara, Samuele Mongodi
The problem of giving a (CR-)geometric description of the best possible order of a subelliptic estimate at a boundary point in the -Neumann problem is largely open. I…
math.CV2023
Remarks on the Levi core
Gian Maria Dall'Ara, Samuele Mongodi
We investigate a few aspects of the notion of Levi core, introduced by the authors in a previous work: a basic finiteness question, the connections with Kohn's algorithm and with C…