Associated spaces in Clifford analysis

DOI10.1007/S00006-015-0528-YzbMath1330.35073OpenAlexW2062831093MaRDI QIDQ497153

Yanett Bolívar, Licet Lezama, Judith Vanegas, Luis Gerardo Mármol

Publication date: 23 September 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0528-y

zbMATH Keywords

Clifford-algebra-valued coefficientsgeneralized Cauchy-Riemann operatormonogenic functions

Mathematics Subject Classification ID

Initial value problems for linear first-order PDEs (35F10)

Related Items (2)

First order differential operators associated to the space of monogenic functions in parameter-depending Clifford algebras ⋮ Interior estimates in the sup-norm for a class of generalized functions with integral representations

Cites Work

• An example of a smooth linear partial differential equation without solution
• Necessary and sufficient conditions for first order differential operators to be associated with a disturbed Dirac operator in quaternionic analysis
• Some power series expansions for monogenic functions
• Continuum Percolation
• Initial value problems with regular initial functions in quaternionic analysis
• Initial value problems in Clifford-type analysis
• Complex methods in higher dimensions – recent trends for solving boundary value and initial value problems
• A note on the Fueter theorem
• Solution of initial value problems of Cauchy-Kovalevsky type in the space of generalized monogenic functions
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