Cauchy-Kowalevski extensions and monogenic plane waves in Clifford analysis
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Publication:1929934
DOI10.1007/s00006-012-0352-6zbMath1264.30039OpenAlexW2080720658MaRDI QIDQ1929934
Nele De Schepper, Fransiscus Sommen
Publication date: 10 January 2013
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://biblio.ugent.be/publication/3032095/file/3032096
Clifford analysisCauchy-Riemann equationaxially monogenic functionbiaxially monogenic functionmonogenic plane wave
Related Items
Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics ⋮ The Fueter-Sce mapping and the Clifford–Appell polynomials ⋮ Hypermonogenic solutions and plane waves of the Dirac operator in \(\mathbb{R}^p \times \mathbb{R}^q\) ⋮ Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace
Cites Work
- The inverse Fueter mapping theorem
- Special functions in Clifford analysis and axial symmetry
- Deriving harmonic functions in higher dimensional spaces
- An alternative proof of Fueter's theorem
- Clifford analysis, biaxial symmetry and pseudoanalytic functions
- Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution
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