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Gel'fand–Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis

✍ Scribed by F. Brackx; H. De Schepper; R. Lávička; V. Souček

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 399 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1514

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✦ Synopsis

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 conjugate complex Dirac operators.

📜 SIMILAR VOLUMES

Hypercomplex derivative bases of polynom

Hypercomplex derivative bases of polynomials in Clifford analysis

✍ L. Aloui; G. F. Hassan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB

## Communicated by K. Gürlebeck 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.