The Open Mapping Theorem for Regular Quaternionic Functions
نویسندگان
چکیده
منابع مشابه
The open mapping theorem for regular quaternionic functions
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.
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The notation and terminology used here are introduced in the following papers: [13], [14], [3], [9], [2], [7], [1], [4], [5], [10], [6], [12], [11], and [15]. The following proposition is true (1) For all real numbers x, y such that 0 ≤ x < y there exists a real number s0 such that 0 < s0 and x < y 1+s0 < y. The scheme RecExD3 deals with a non empty set A, an element B of A, an element C of A, ...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2009
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.2009.4.07