Convolution Equations in Spaces of Infinite Dimensional Entire Functions of Exponential and Related Types

DOI10.2307/1998290zbMath0426.46015OpenAlexW4251706089MaRDI QIDQ3861938

B. Perrot, J. François Colombeau

Publication date: 1980

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998290

zbMATH Keywords

convolution equationsFourier-Borel transformapproximation propertybornologyinfinite-dimensional holomorphyDF-spacesSilva spacesdual nuclear locally convex spaceFrechet Schwartz spacespaces of entire functions of exponential type on infinite dimensional spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Holomorphic functions of several complex variables (32A10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Related Items

On Lorentz nuclear homogeneous polynomials between Banach spaces, The (partial d) equation in DFN spaces, Convolution operators on spaces of entire functions, Division by Holomorphic Functions and Convolution Equations in Infinite Dimension, Unnamed Item, Strongly mixing convolution operators on Fréchet spaces of entire functions of a given type and order