The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent papers there has been a resurgence of interest in principles of this type for functions of a hypercomplex variable and for solutions of suitable partial differential equations. In the present article we obtain a Phragmen-Lindelof principle for slice regular functions, a class of quaternion-valued functions of a quaternionic variable which has been recently introduced.

A Phragmén-Lindelöf principle for slice regular functions / Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - STAMPA. - 18:(2011), pp. 749-759. [10.36045/bbms/1320763135]

A Phragmén-Lindelöf principle for slice regular functions

GENTILI, GRAZIANO;STOPPATO, CATERINA;
2011

Abstract

The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent papers there has been a resurgence of interest in principles of this type for functions of a hypercomplex variable and for solutions of suitable partial differential equations. In the present article we obtain a Phragmen-Lindelof principle for slice regular functions, a class of quaternion-valued functions of a quaternionic variable which has been recently introduced.
2011
18
749
759
Goal 17: Partnerships for the goals
Gentili, Graziano; Stoppato, Caterina; Struppa, Daniele C.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/404627
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