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- W2735846203 abstract "In this paper we analyse the structure of the spaces of coefficients of eigenfunction expansions of functions in Komatsu classes on compact manifolds, continuing the research in our previous paper. We prove that such spaces of Fourier coefficients are perfect sequence spaces. As a consequence we describe the tensor structure of sequential mappings on spaces of Fourier coefficients and characterise their adjoint mappings. In particular, the considered classes include spaces of analytic and Gevrey functions, as well as spaces of ultradistributions, yielding tensor representations for linear mappings between these spaces on compact manifolds." @default.
- W2735846203 created "2017-07-21" @default.
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- W2735846203 date "2017-07-12" @default.
- W2735846203 modified "2023-10-01" @default.
- W2735846203 title "Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations" @default.
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