| |
Table des matières de ce fascicule | Article précédent | Article suivant Horváth, Miklòs
Local uniform convergence of the Riesz means of Laplace and Dirac expansions. Annales de la faculté des sciences de Toulouse, Sér. 6, 6 no. 4 (1997), p. 653-696
Texte intégral djvu | pdf | Analyses MR 1624310 | Zbl 0914.35090
URL stable: http://www.numdam.org/item?id=AFST_1997_6_6_4_653_0
Voir cet article sur le site de l'éditeur
[1] Alimov (S.A.) .— On spectral decompositions of functions in Hαp, Math. USSR Sbornik 30, n° 1 (1976), pp. 1-16. Zbl 0381.46029 [2] Alimov (S.A.) and Joó (I.) .— On the Riesz summability of eigenfunction expansions, Acta Sci. Math. Szeged 45 (1983), pp. 5-18. MR 708767 | Zbl 0554.35030 [3] Bateman (H.) and Erdélyi (A.) .— Higher transcendental functions, McGraw-Hill, New York, 1-2 (1953). MR 58756 [4] Bergh (J.) and Löfström (J.) .— Interpolation spaces, An introduction, Springer, Berlin (1976). MR 482275 | Zbl 0344.46071 [5] Evans (W.D.) . - Eigenfunction expansions associated with the Dirac relativistic equations I-II, Quart. J. Math. Oxford 17 (1966), pp. 211-233; 18 (1967), pp. 239-262. MR 217457 | Zbl 0144.23601 [6] Horváth (M.) .— Sur le développement spectral de l'opérateur de Schrödinger, Comptes Rendus Acad. Sci. Paris, Série I, 311 (1990), pp. 499-502. MR 1078109 | Zbl 0711.47027 [7] Horváth (M.) . - Exact norm estimates for the singular Schrödinger operator, Acta Math. Hung. 60 (1992), pp. 177-195. MR 1177254 | Zbl 0815.47061 [8] Horváth (M.) .— Uniform estimations of the Green function for the singular Schrödinger operator, Acta Math. Hung. 61 (1993), pp. 327-342. MR 1214640 | Zbl 0820.35102 [9] Horváth (M.) . - Local uniform convergence of the eigenfunction expansion associated with the Laplace operator I-II, Acta Math. Hung. 64 (1994), pp. 1-25, 101-138. MR 1261483 | Zbl 0821.35105 [10] Horváth (M.), Joó (I.) and Komornik (V.) .- An equiconvergence theorem, Annales Univ. Sci. Budapest, Sectio Math. 31 (1988), pp. 19-26. MR 1003626 | Zbl 0684.34031 [11] IL'IN (V.A.) and Alimov (S.A.) .- Convergence conditions for the spectral expansions associated with selfadjoint extensions of elliptic operators I-II, Differencialnie Uravnenija (in Russian) 7, n° 4 (1971), pp. 670-710; 7, n° 5 (1971), pp. 851-882. MR 284868 | Zbl 0224.35014 [12] Joó (I.) .- On the summability of eigenfunction expansions I, Acta Math. Hung. 43, n° 1-2 (1984), pp. 73-83. MR 731967 | Zbl 0539.35058 [13] Joó (I.) .— On the summability of eigenfunction expansions II, III, Annales Univ. Sci. Budapest, Sectio Math. 27 (1985), pp. 167-184; 28 (1986), pp. 253-262. MR 856998 | Zbl 0657.35093 [14] Joó (I.) .— On the uniform Riesz summability of eigenfunction expansions I, Annales Univ. Sci. Budapest, Sectio Math. 31 (1988), pp. 191-211. MR 1003646 | Zbl 0694.35124 [15] Joó (I.) .— Exact estimate for the spectral function of the singular Schrödinger operator, Periodica Math. Hung. 18, n° 3 (1987), pp. 203-211. MR 902523 | Zbl 0633.35056 [16] Joó (I.) .- On the divergence of eigenfunction expansions, Annales Univ. Sci. Budapest, Sectio Math. 32 (1989), pp. 3-36. MR 1094655 | Zbl 0734.42018 [17] Joó (I.) .— On the convergence of eigenfunction expansions, Acta Math. Hung. 60 (1992), pp. 125-156. MR 1177252 | Zbl 0807.35103 [18] Joó (I.) and Komornik (V.) .— On the equiconvergence of expansions by Riesz bases formed by eigenfunctions of the Schrödinger operator, Acta Sci. Math. Szeged 46 (1983), pp. 357-375. MR 739055 | Zbl 0537.34019 [19] Komornik (V.) .- Sur l'équiconvergence des séries orthogonales et biorthogonales correspondant aux fonctions propres des opérateurs différentiels linéaires, Comptes Rendus Acad. Sci. Paris, Série I, 299 (1984), pp. 217-219. MR 762724 | Zbl 0562.42023 [20] Nikiforov (A.) and Ouvarov (V.) .— Fonctions spéciales de la physique mathématique, Édition Mir, Moscou (1983). [21] Nikolskii (S.M.) .— Approximation of functions of several variables and imbedding theorems, Nauka, Moscow (1977), in Russian. MR 506247 | Zbl 0496.46020 [22] Nikolskii (N.K.), Pavlov (B.S.) and Hruscov (S.V.) .- Unconditional bases of exponentials and of reproducing kernels, Lecture Notes in Math., Springer, Berlin, 864 (1981), pp. 214-335. MR 643384 | Zbl 0466.46018 [23] Titchmarsh (E.C.) . — Eigenfunction expansions associated with second order differential equations I-II, Clarendon Press, Oxford 1946, 1958. Zbl 0061.13505 [24] Triebel (H.) .- Interpolation theory. Functions spaces. Differential operators, V.E.B. Verlag, Berlin (1978). Zbl 0387.46033 [25] Watson (G.N.) .- A treatise on the theory of Bessel functions, Cambridge Univ. Press (1952). JFM 50.0264.01 [26] Young (R.M.) .- An introduction to nonharmonic Fourier series, Academic Press, New York (1980). MR 591684 | Zbl 0493.42001 [27] Zygmund (A.) .- Trigonometric Series, Cambridge Univ. Press (1959). Zbl 0085.05601
|
|
Copyright Cellule MathDoc 2013 | Crédit | Plan du site
|