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Explicit Formulae for Monogenic Projections

Authors: Fred Brackx; Hennie De Schepper; David Eelbode; Vladimír Souček;

Explicit Formulae for Monogenic Projections

Abstract

Spherical monogenics were studied from the very beginning of Clifford analysis (see [2]) and a lot of their properties are well understood. In particular, the monogenic projection πM (i.e., the projection from the space of homogeneous polynomials of order k to the space of spherical monogenics of order k) plays a key role in many different investigations. There is a standard integral formula for the projection (see e.g. [4]). Recently, an explicit differential formula was given ([7, 3]) for the projection, analogous to the classical formula for spherical harmonics. The aim of the article is to describe some other differential formulae useful in further applications.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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