Abstract
In this section, (X, +, ⋅, ||⋅||) will be a p-Fréchet space with 0 < p < 1 (over the field \(\Phi =\mathbb {R}\) or \(\mathbb {C}\)). Also, denote D(x, y) = ||x − y||.
Similarly to, p. 137, a trigonometric polynomial of degree ≤ n with coefficients (and values) in the p-Fréchet space X is defined as a finite sum of the form \(T_{n}(t)=\displaystyle \sum \limits _{k=1}^{n}c_{k}e^{i\lambda _{n}t}\), where c k ∈ X, k = 1, …, n.
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N’Guérékata, G.M. (2021). Almost Periodic Functions with Values in a Non-locally Convex Space. In: Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer, Cham. https://doi.org/10.1007/978-3-030-73718-4_9
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