Topological tensor products and asymptotic developments
Copyright policy )Topological tensor products and asymptotic developments
The author shows that the space of holomorphic functions of several variables which have an asymptotic development in the classical sense of Poincaré and in the sense of Gevrey are nuclear spaces, and that they coincide with the complete tensor product of copies of the corresponding space in the one variable case. The space of multisummable series in one variable is also nuclear, thus allowing the author to define these spaces for several variables.
complete tensor product, space of holomorphic functions of several variables, asymptotic development, Spaces of linear operators; topological tensor products; approximation properties, nuclear spaces, Topological linear spaces of continuous, differentiable or analytic functions, Tensor products in functional analysis, space of multisummable series
complete tensor product, space of holomorphic functions of several variables, asymptotic development, Spaces of linear operators; topological tensor products; approximation properties, nuclear spaces, Topological linear spaces of continuous, differentiable or analytic functions, Tensor products in functional analysis, space of multisummable series
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