Fourier series : Case of locally integrable square functions

Case of locally integrable square functions
Fourier series

Author : Hervé QUEFFÉLEC

Publication date: January 10, 1999 | Lire en français

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4. Case of locally integrable square functions

Let L² be the set of functions f ∊ L¹ such that :

\int_{a}^{b} {| f (t) |}^{2} d t < \infty pour tous a, b \in ℝ (a < b)

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Case of locally integrable square functions

(1) - DAVIS (P.) - Interpolation and approximation.
(2) - KUIPERS (L.), NIEDERREITER (H.) - Uniform distribution of sequences. - Wiley-Interscience Series, 1974.
(3) - ZYGMUND (A.) - Trigonometric Series, - Second Edition. Cambridge University Press, 1959.

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