Cauchy's integral theorem on a finitely generated, real, commutative, and associative algebra

DOI10.1006/AIMA.1997.1671zbMath0886.30033OpenAlexW2077269758MaRDI QIDQ1376312

Paul S. Pedersen

Publication date: 17 December 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1671

zbMATH Keywords

Cauchy integralassociative algebra

Mathematics Subject Classification ID

Other generalizations of analytic functions (including abstract-valued functions) (30G30) Differential algebra (13N99) Generalized function theory (30G99)

Related Items (1)

Differential Equations in Algebras

Cites Work

• A simple generalization of analytic function theory
• Analytic solutions for a class of PDE's with constant coefficients
• Analyzing some generalized analytic functions
• A basis for polynomial solutions to systems of linear constant coefficient PDE's
• A function theory for finding a basis for all polynomial solutions to linear constant coefficient pde's of homogeneous order

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