References
G. Alexits,Convergence problems of orthogonal series, Pergamon Press (Oxford, 1961).
V. F. Gapoškin, On the growth order of partial sums of non-orthogonal series,Analysis Math.,6 (1980), 105–119.
G. G. Lorentz, Über die Mittelwerte der Funktionen eines Orthogonalsystems,Math. Zeitschrift,49 (1943/44), 724–733.
F. Móricz, On the convergence in a restricted sense of multiple series,Analysis Math.,5 (1979), 135–147.
F. Móricz, On the growth order of the rectangular partial sums of multiple non-orthogonal series,Analysis Math.,6 (1980), 327–341.
F. Móricz andK. Tandori, On the divergence of multiple orthogonal series,Acta Sci. Math. Szeged,42 (1980), 133–142.
K. Tandori, Über die orthogonalen Funktionen. I,Acta Sci. Math., Szeged,18 (1957), 57–130.
G. H. Hardy, On the convergence of certain multiple series,Proc. London Math. Soch., Ser. 2,1 (1903–1904), 124–128.
G. H. Hardy, On the convergence of certain multiple series,Proc. Cambridge Philosoph. Soc.,19 (1916–1919), 86–95.
C. N. Moore,Summable series and convergence factors, Amer. Math. Soc. (New York, 1938).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Móricz, F. The Kronecker lemmas for multiple series and some applications. Acta Mathematica Academiae Scientiarum Hungaricae 37, 39–50 (1981). https://doi.org/10.1007/BF01904871
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01904871