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Applications de la théorie des espaces d’interpolation aux développements orthogonaux. (French) Zbl 0145.39702

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[1] Alexits G. : Konvergenzprobleme der Orthogonalreihen . Berlin , 1960 . MR 162091 | Zbl 0097.27702 · Zbl 0097.27702
[2] Kaczmarz S. et Steinhaus H. : Theorie der Orthogonalreihen . Varsovie , 1935 . JFM 61.1119.05 · JFM 61.1119.05
[3] Lions J.L. et Peetre J. : Sur une classe d’espace d’interpolation . Publ. Math. Inst. Hautes Etudes Sci. 1964 , 19 , 5 - 68 . Numdam | MR 165343 | Zbl 0148.11403 · Zbl 0148.11403 · doi:10.1007/BF02684796 · numdam:PMIHES_1964__19__5_0 · eudml:103841
[4] Löfström J. : Some theorems on interpolation spaces with approximation in Lp . A paraître aux Math. Ann. Zbl 0186.45701 · Zbl 0186.45701 · doi:10.1007/BF01351183 · eudml:161581
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[7] Peetre J. : Application de la théorie des espaces d’interpolation dans l’Analyse Harmonique . Richerche Mat. 1966 , 15 , 3 - 36 . MR 221214 | Zbl 0154.15302 · Zbl 0154.15302
[8] Peetre J. : Absolute convergence of eigenfunction expansions . A paraître aux Math. Ann. MR 223768 | Zbl 0145.39701 · Zbl 0145.39701 · doi:10.1007/BF01362354 · eudml:161524
[9] Peetre J. : Some remarks on continuous orthogonal expansions and eigenfunctions expansion for positive self-adjoint elliptic operators with variable coefficients . Math. Scand. , 1966 , 17 , 56 - 64 . Article | MR 209663 | Zbl 0148.13002 · Zbl 0148.13002 · eudml:165924
[10] Peetre J. : Estimates for spectral functions . Math. Z. , 1966 , 92 , 146 - 153 . Article | MR 192368 | Zbl 0151.20204 · Zbl 0151.20204 · doi:10.1007/BF01312433 · eudml:170543
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