The open mapping theorem for regular quaternionic functions

Gentili, Graziano; Stoppato, Caterina

Gentili, Graziano ; Stoppato, Caterina

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 4, pp. 805-815.

Résumé

The basic results of a new theory of regular functions of a quaternionic variable have been recently stated, following an idea of Cullen. In this paper we prove the minimum modulus principle and the open mapping theorem for regular functions. The proofs involve some peculiar geometric properties of such functions which are of independent interest.

MR 2647912 | Zbl 1201.30067

Classification : 30G35

@article{ASNSP_2009_5_8_4_805_0,
     author = {Gentili, Graziano and Stoppato, Caterina},
     title = {The open mapping theorem for regular quaternionic functions},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {805--815},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 8},
     number = {4},
     year = {2009},
     zbl = {1201.30067},
     mrnumber = {2647912},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0/}
}

Gentili, Graziano; Stoppato, Caterina. The open mapping theorem for regular quaternionic functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 4, pp. 805-815. http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0/

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