On the Restricted Cesàro Summability of Multiple Orthogonal Series
Canadian journal of mathematics, Tome 37 (1985) no. 2, pp. 371-384

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

We actually treat double orthogonal series in detail, simply for the sake of brevity in notations. Multiple orthogonal series will be shortly indicated in the concluding Section 8.Let (X, , μ) be an arbitrary positive measure space and {φ jk (x):i, k = 0, 1, ...} an orthonormal system defined on X. We consider the double orthogonal series (1.1) where {φ ik :i, k = 0, 1, ...} is a double sequence of real numbers (coefficients), for which (1.2)
Móricz, Ferenc. On the Restricted Cesàro Summability of Multiple Orthogonal Series. Canadian journal of mathematics, Tome 37 (1985) no. 2, pp. 371-384. doi: 10.4153/CJM-1985-022-9
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