Geodesic
Gap Series on Groups and Spheres
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 389-398

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

Let G be a compact abelian group and E a subset of its dual group Γ. A function ƒ ∈ L 1 (G) is called an E-function if for all γ ∉ E where dx is the Haar measure on G. A trigonometric polynomial that is also an E-function is called an E-polynomial. 
Rider, Daniel. Gap Series on Groups and Spheres. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 389-398. doi: 10.4153/CJM-1966-041-0
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[1] 1. Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G., Higher transcendental functions, Vol. I (New York, 1953). Google Scholar

[2] 2. Féjer, L., Über die Laplacesche Reihe, Math. Ann., 67 (1909), 76–109. Google Scholar

[3] 3. Hewitt, E. and Zuckerman, H. S., Some theorems on lacunary Fourier series, with extensions to compact groups, Trans. Amer. Math. Soc, 93 (1959), 1–19. Google Scholar

[4] 4. Hobson, E. W., The theory of spherical and ellipsoidal harmonics (New York, 1955). Google Scholar

[5] 5. Rudin, W., Fourier analysis on groups (New York, 1962). Google Scholar

[6] 6. Trigonometric series with gaps, J. Math. Mech., 9 (1960), 203–228. Google Scholar

[7] 7. Stečkin, S. B., On absclute convergence of Fourier series, Izv. Akad. Nauk SSSR, Ser. Mat., 20 (1956), 385–412. Google Scholar

[8] 8. Zygmund, A., Trigonometric series, 2nd éd., Vol. I (Cambridge, 1959). Google Scholar

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