We give conditions for orthonormal systems on the boundary of a plane Jordan domain which are necessary and sufficient for an arbitrary series in terms of this orthonormal system to be the Fourier series of some function in H 1 ðGÞ resp. E P ðGÞð15p51Þ: Our results contain a classical criterion of F
Orthogonal Appell systems of monogenic functions in the cylinder
✍ Scribed by J. Morais; H. T. Le
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 245 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1457
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✦ Synopsis
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 R 3 . This will be done in the spaces of square integrable functions over R and H. Some important properties of the systems are discussed.
📜 SIMILAR VOLUMES
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