## Abstract In this paper, we consider rectangular domains in real Euclidean spaces of dimension at least 2, where the sides can be finite, semiโinfinite, or fully infinite. The Bergman reproducing kernel for the space of monogenic and square integrable functions on such a domain is obtained in clo
Convolution kernels in Clifford analysis: old and new
โ Scribed by Fred Brackx; Hennie De Schepper
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 107 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.652
No coin nor oath required. For personal study only.
โฆ Synopsis
New singular integral operators are constructed involving the so-called spherical monogenics of Cli ord analysis, as special cases of broad families of speciรฟc Cli ord distributions. They constitute reรฟnements of the classical singular integral operators involving spherical harmonics and give rise to generalized Hilbert transforms.
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