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On some constructive aspects of monogenic function theory in ℝ4

✍ Scribed by J. Morais; H. T. Le; W. Sprößig

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
230 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by K. Guerlebeck

As is well known, a possible generalization to R 4 of the classical Cauchy-Riemann system leads to the so-called Riesz system. The main goal of this paper is to construct explicitly a complete orthonormal system of polynomial solutions of this system with respect to a certain inner product. This will be done in the spaces of square integrable functions on the unit ball over R.

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