Division by Holomorphic Functions and Convolution Equations in Infinite Dimension

DOI10.2307/1998545zbMath0494.46052OpenAlexW4255856103MaRDI QIDQ3957467

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Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998545

zbMATH Keywords

Fourier-Borel transformconvolution equationinfinite dimensional holomorphyd-bar-equationhomogeneous convolution equationscomplete dual nuclear locally convex spaceconvolution equations in infinite dimensiondivision by holomorphic functionsstrong dual of nuclear Frechet spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Distributions on infinite-dimensional spaces (46F25)

Related Items (4)

On the Division of Distributions by Analytic Functions in Locally Convex Spaces ⋮ The (partial d) equation in DFN spaces ⋮ Convolution operators on spaces of entire functions ⋮ L'équation $\bar\partial$ dans les ouverts pseudo-convexes des espaces DFN

Cites Work

• A density result in spaces of Silva holomorphic mappings
• On the division of distributions by polynomials
• Some theorems about bounded structures
• Topological vector spaces and algebras
• Convolution Equations in Spaces of Infinite Dimensional Entire Functions of Exponential and Related Types
• Sur le problème de la division
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