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2015 | OriginalPaper | Buchkapitel

Recent Progress on Spheroidal Monogenic Functions

verfasst von : Hung Manh Nguyen

Erschienen in: Current Trends in Analysis and Its Applications

Verlag: Springer International Publishing

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Abstract

Monogenic function theories are considered as generalizations of the holomorphic function theory in the complex plane to higher dimensions and are refinements of the harmonic analysis based on the Laplace operator’s factorizations. The construction of spherical monogenic functions has been studied for decades with different methods. Recently, orthogonal monogenic bases are developed for spheroidal reference domains, first by J. Morais and later by others. This survey will go through the construction of spheroidal monogenic functions and discuss up-to-date results.

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Titel: Recent Progress on Spheroidal Monogenic Functions
verfasst von: Hung Manh Nguyen
Verlag: Springer International Publishing
Buch: Current Trends in Analysis and Its Applications
Print ISBN: 978-3-319-12576-3

Electronic ISBN: 978-3-319-12577-0

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-3-319-12577-0_54

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