Differentiable functions on algebras and the equation grad (w) = M grad (v)

DOI10.1017/S0308210500021156zbMath0813.35064OpenAlexW1973743576MaRDI QIDQ4037704

William C. Waterhouse

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021156

zbMATH Keywords

Frobenius algebradifferentiable functions on algebras

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Overdetermined systems of PDEs with constant coefficients (35N05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

Differentiable functions on modules and the equation 𝑔𝑟𝑎𝑑(𝑤)=𝖬𝗀𝗋𝖺𝖽(𝗏) ⋮ 𝐴-differentiability and 𝐴-analyticity ⋮ \(A\)-manifolds admitting a functorial connection ⋮ Multiplication for solutions of the equation grad \(f = M\) grad \(g\)

Cites Work

• Some elements of a theory of multidimensional complex variables. II: Expansions of analytic functions and application to fluid flows
• The generalized Laplace equations in a function theory for commutative algebras
• On the equation grad f = M grad g
• Unnamed Item

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