New York Journal of Mathematics
Volume 23 (2017) 583-592

  

Graziano Gentili and Giulia Sarfatti

The Mittag-Leffler Theorem for regular functions of a quaternionic variable

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Published: May 26, 2017
Keywords: Functions of a quaternionic variable, Mittag-Leffler Theorem, quaternionic analyticity
Subject: 30G35

Abstract
We prove a version of the classical Mittag-Leffler Theorem for regular functions over quaternions. Our result relies upon an appropriate notion of principal part, that is inspired by the recent definition of spherical analyticity.

Acknowledgements

This project has been supported by G.N.S.A.G.A. of INdAM - Rome (Italy), by MIUR of the Italian Government (Research Projects: PRIN "Real and complex manifolds: geometry, topology and harmonic analysis'', FIRB "Geometric function theory and differential geometry" and SIR "Analytic aspects in complex and hypercomplex geometry'').


Author information

Graziano Gentili:
Dipartimento di Matematica e Informatica "U. Dini'', Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy
gentili@math.unifi.it

Giulia Sarfatti:
Dipartimento di Matematica e Informatica "U. Dini'', Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy
giulia.sarfatti@unifi.it