## Communicated by W. SprΓΆΓig In this article, we study the structure of zeroes of power series with Clifford algebra-valued coefficients. Especially, if it has paravector-valued coefficients, we obtain some sufficient and necessary conditions of power series that have zeroes, as well as a method
β¦ LIBER β¦
Some remarks on zeroes of monogenic functions
β Scribed by Thomas Hempfling
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 142 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0188-7009
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## Communicated by K. Guerlebeck As is well known, a possible generalization to R 4 of the classical Cauchy-Riemann system leads to the so-called Riesz system. The main goal of this paper is to construct explicitly a complete orthonormal system of polynomial solutions of this system with respect t