|
|||||
|
|
Orthogonal Appell systems of monogenic functions in the cylinder |
|
| Authors: | J. Morais H. T. Le |
| Affiliation: | Technical University of Mining, Freiberg, Germany |
| Abstract: | The main goal of this paper is to construct Orthogonal Appell systems of polynomial solutions of the Riesz and Moisil‐Théodoresco systems in finite cylinders of ?3. This will be done in the spaces of square integrable functions over ? and ?. Some important properties of the systems are discussed. Copyright © 2011 John Wiley & Sons, Ltd. |
| Keywords: | quaternionic analysis Riesz system Moisil– Thé odoresco system Legendre polynomials Chebyshev polynomials Appell systems |