## Communicated by K. Gรผrlebeck Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting.
Inverse sets of polynomials in Clifford analysis
โ Scribed by M. A. Abul-Ez
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 239 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
## Communicated by K. Guerlebeck An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimensional function theory centered around the simultaneous null solutions of two Hermitean c
In this paper we study polynomial Dirac equation p(D)f = 0 including (D-k)f = 0 with complex parameter k and D k f = 0(k โฅ 1) as special cases over unbounded subdomains of R n+1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying ce
We prove the Paley-Wiener Theorem in the Clifford algebra setting. As an application we derive the corresponding result for conjugate harmonic functions.