The Kronecker lemmas for multiple series and some applications
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Publication:3934905
DOI10.1007/BF01904871zbMath0477.40006OpenAlexW1983494428WikidataQ124843616 ScholiaQ124843616MaRDI QIDQ3934905
Publication date: 1981
Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01904871
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Multiple sequences and series (40B05) Convergence factors and summability factors (40D15)
Related Items (12)
Approximation by Nörlund means of double Fourier series for Lipschitz functions ⋮ Über die Mittel von orthogonalen Funktionen. V. (On the means of orthogonal functions. V) ⋮ Unnamed Item ⋮ Marcinkiewicz strong laws of large numbers and convergence rates for arrays of independent random elements in banach spaces ⋮ Some remarks on the notion of regular convergence of multiple series ⋮ On the \(L^1\)-convergence for double arrays of blockwise \(M\)-pairwise negatively dependent random variables ⋮ On the Lebesgue summability of regularly convergent double trigonometric series ⋮ Strong Cesàro \(| C,1,1| \) summability and statistical convergence of double orthogonal series ⋮ On the laws of large numbers for double arrays of independent random elements in Banach spaces ⋮ Lebesgue functions and multiple function series. III ⋮ Approximation theorems for double orthogonal series ⋮ Lebesgue functions and multiple function series. II
Cites Work
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- On the convergence in a restricted sense of multiple series
- On the growth order of the rectangular partial sums of multiple non- orthogonal series
- On the growth order of partial sums of non-orthogonal series
- Über die Mittelwerte der Funktionen eines Orthogonalsystems
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