Twisted plane wave expansions using hypercomplex methods

DOI10.4171/PRIMS/123zbMath1288.30051OpenAlexW2062921255MaRDI QIDQ2444875

Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Fransiscus Sommen

Publication date: 11 April 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/123

zbMATH Keywords

delta distributionplane wave expansionmonogenic functionsregular functions of a quaternionic variable

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Distributions and ultradistributions as boundary values of analytic functions (46F20)

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Cites Work

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• Analysis of Dirac systems and computational algebra.
• Harmonic Analysis in Phase Space. (AM-122)
• Quaternionic analysis
• Clifford analysis in two and several vector variables
• Sheaves of quaternionic hyperfunctions and microfunctions
• Topologies on quaternionic hyperfunctions and duality theorems

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