Special first order systems in Clifford analysis and resolutions.

DOI10.4171/ZAA/1064zbMath1134.15302OpenAlexW2015519437MaRDI QIDQ1607597

Fransiscus Sommen, Irene Sabadini

Publication date: 14 October 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1064

zbMATH Keywords

syzygiesresolutionsmatrix variablescombinatorial systemsAbstract vector variablesmonogenetic functions of higher spin

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Other special methods applied to PDEs (35A25)

Related Items (2)

Hermitian Clifford analysis and resolutions ⋮ Complex boosts: a Hermitian Clifford algebra approach

Uses Software

• CoCoA

Cites Work

• Quaternionic complexes
• Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Holomorphic synthesis of monogenic functions of several quaternionic variables
• Monogenic functions of higher spin by cauchy-kovalevska extension of real-analytic functions
• Analysis of the module determining the properties of regular functions of several quaternionic variables.
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