Geodesic
Random Fourier Series on Compact Noncommutative Groups
Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1400-1407

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

1. Let G be a compact group, let I b e a subset of its dual object Γ, which, without loss of generality, will be assumed to be a countable subset. Let Di , i ∈ I , be irreducible representations of G of degree di. The Fourier series of a function F in L 1(G) is denned by where 
Picardello, Massimo A. Random Fourier Series on Compact Noncommutative Groups. Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1400-1407. doi: 10.4153/CJM-1975-143-7
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[1] 1. Cecchini, C., Lacunary Fourier series on compact Lie groups, J. Functional Analysis 11 (1972), 191–203. Google Scholar

[2] 2. Figa'-Talamanca, A., Appartenenza a Lp délie série di Fourier aleatorie su gruppi non commutativi, Rend. Sem. Mat. Univ. Padova 39 (1967), 330–348. Google Scholar

[3] 3. Figa'-Talamanca, A., Bounded and continuous Fourier series on noncommutative groups, Proc. Amer. Mat. Soc. 22 (1969), 573–578. Google Scholar

[4] 4. Figa'-Talamanca, A., Random Fourier series on compact groups, in Theory of group representations and Fourier analysis (C.I.M.E., Montecatini, 1970). Google Scholar

[5] 5. Figa'-Talamanca, A. and Rider, D., A theorem of Littlewood and lacunary series for compact groups, Pacific J. Math. 16 (1966), 505–514. Google Scholar

[6] 6. Figa'-Talamanca, A. and Rider, D., A theorem on random Fourier series on noncommutative groups, Pacific J. Math. 21 (1967), 487–492. Google Scholar

[7] 7. Hewitt, E. and Ross, K. A., Abstract harmonic analysis, Vol. II (Springer-Verlag, Berlin, 1969). Google Scholar

[8] 8. Moore, C. C., Groups with finite dimensional irreducible representations, Trans. Amer. Math. Soc. 166 (1972), 401–409. Google Scholar

[9] 9. Rider, D., Central lacunary sets (to appear). Google Scholar

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