Operators associated to the Cauchy-Riemann operator in elliptic complex numbers

DOI10.1007/S00006-011-0306-4zbMath1271.30022arXiv1105.4362OpenAlexW1969967788MaRDI QIDQ1934350

Carmen Judith Vanegas, Daniel Alayón-Solarz

Publication date: 28 January 2013

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

Full work available at URL: https://arxiv.org/abs/1105.4362

zbMATH Keywords

initial value problemsassociated differential operatorparameter-depending elliptic complex numbers

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Initial value problems for linear first-order PDEs (35F10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (3)

Interior estimates in the sup-norm for a class of generalized functions with integral representations ⋮ Some new results for function theory in hypercomplex analysis with parameters ⋮ Interior \(L_p\)-estimates for functions in Clifford type algebras

Cites Work

• Unnamed Item
• First Order Differential Operators Associated to the Cauchy—Riemann Operator in the Plane
• The Cauchy–Pompeiu integral formula in elliptic complex numbers

This page was built for publication: Operators associated to the Cauchy-Riemann operator in elliptic complex numbers