Generalized Cauchy-Riemann equations in non-identity bases with application to the algebrizability of vector fields
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Publication:6085841
DOI10.1515/FORUM-2022-0292zbMath1526.35007MaRDI QIDQ6085841
Julio Cesar Avila, Elifalet López-González, Martín Eduardo Frías-Armenta
Publication date: 8 November 2023
Published in: Forum Mathematicum (Search for Journal in Brave)
vector fieldsgeneralized Cauchy-Riemann equationsLorch derivativefinite-dimensional associative commutative algebras with unity
Commutativity of matrices (15A27) Classical solutions to PDEs (35A09) Systems of linear first-order PDEs (35F35)
Cites Work
- Advances in applied analysis. Selected papers based on the lectures presented at the 3rd international winter school ``Modern Problems of Mathematics and Mechanics held in Minsk, Belarus, January 2010
- On solving systems of autonomous ordinary differential equations by reduction to a variable of an algebra
- A survey on the inverse integrating factor
- On geodesibility of algebrizable planar vector fields
- Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
- From Generalized Cauchy-Riemann Equations to Linear Algebras
- The Theory of Analytic Functions in Normed Abelian Vector Rings
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