Abstract
The forthcoming spaces \( {{\mathcal{H}}^{p}} \) of Dirichlet series (1 ≤ p ≤ ∞), analogous to the familiar Hardy spaces Hp on the unit disk, have been successfully introduced to study completeness problems in Hilbert spaces ([63]), first for p = 2, ∞. Later on, the general case was considered in [10] for the study of composition operators. We will return to that general case further in this chapter, and now concentrate on the cases p = 2, ∞. Here is the initial motivation: let H = L2(0, 1) and ϕ ∈ H, viewed as a 2-periodic odd function on ℝ through its Fourier expansion
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© 2013 Hindustan Book Agency
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Queffélec, H., Queffélec, M. (2013). Hardy spaces of Dirichlet Series. In: Diophantine Approximation and Dirichlet Series. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-61-3_6
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DOI: https://doi.org/10.1007/978-93-86279-61-3_6
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-93-80250-53-3
Online ISBN: 978-93-86279-61-3
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