On the Structure of the Taylor Series in Clifford and Quaternionic Analysis
✍ Scribed by Daniel Alpay; Flor de María Correa-Romero; María Elena Luna-Elizarrarás; Michael Shapiro
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 268 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give examples to illustrate our method.
## Abstract The present paper deals with the interaction between the multidimensional Hilbert transform and the Radon transform in Clifford analysis, both transforms being protagonists in multidimensional signal analysis theory. In an attempt to complete the picture, we consider in particular the a