Geometria Complessa e Geometria Differenziale
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A. Altavilla - C. Bisi

Log-biharmonicity and a Jensen formula in the space of quaternions

created by altavilla on 05 Oct 2017
modified on 11 Mar 2019

[BibTeX]

in press

Inserted: 5 oct 2017
Last Updated: 11 mar 2019

Journal: Annales Academiæ Scientiarum Fennicæ-Mathematica
Volume: 44
Number: 2
Pages: 35
Year: 2017
Doi: https://doi.org/10.5186/aasfm.2019.4447

ArXiv: 1708.04894 PDF
Links: arXiv

Abstract:

Given a complex meromorphic function, it is well defined its Riesz measure in terms of the laplacian of the logarithm of its modulus. Moreover, related to this tool, it is possible to prove the celebrated Jensen formula. In the present paper, using among the other things the fundamental solution for the bilaplacian, we introduce a possible generalization of these two concepts in the space of quaternions, obtaining new interesting Riesz measures and global (i.e. four dimensional), Jensen formulas.

Tags: SIR-NEWHOLITE
, FIRB2012-DGGFT

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