Geodesic
On Spectral Synthesis for One Point
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 863-864

Voir la notice de l'article provenant de la source Cambridge University Press

In [2, page 3831], Varopoulos proves that for any ∈ > 0 there exists a function on a neighbourhood of 0. Indeed, if 0 < ∈ < π/2, then f(x) defined to be equal to 1 - e when -eix, linear on [∈, 2π - ∈] and of period 2π, is an example of such a function.The above result can be used to give a direct proof of the following result without reference to the L2 theory [1, Theorem 2.6.4]. 
On Spectral Synthesis for One Point. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 863-864. doi: 10.4153/CMB-1969-113-4
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[1] 1. Rudin, W., Fourier analysis on groups. (Interscience, 1962). Google Scholar

[2] 2. Varopoulos, N. Th., Sur les ensembles parfaits et les séries trigonométriques. C.R. Acad. Se. Paris 260 (1965) 4668–4670, 5165–5168, 5997–6000. Google Scholar

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