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A new theory of regular functions of a quaternionic variable

โœ Scribed by Graziano Gentili; Daniele C. Struppa


Book ID
108051561
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
208 KB
Volume
216
Category
Article
ISSN
0001-8708

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๐Ÿ“œ SIMILAR VOLUMES


A differential criterium for regularity
โœ Alessandro Perotti ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

Let โ„ฆ โІ C 2 . We prove that there exist differential operators T and N, with complex coefficients, such that a function f : โ„ฆ โ†’ H of class C 1 is regular if and only if (N -jT )f = 0 on โˆ‚โ„ฆ (j a basic quaternion) and f is harmonic on โ„ฆ. At the same time we generalize a result of Kytmanov and Aizenber