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On the Coefficients of Multiple Series with Respect to Vilenkin System

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Tatra Mountains Mathematical Publications
Special Issue: Real Functions ’16, Real Functions, Density Topologies, Porosity

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We give a sufficient condition for coefficients of double series Σ Σn,man,m χn,m with respect to Vilenkin system to be convergent to zero when n + m → ∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum.

eISSN:
1210-3195
Sprache:
Englisch
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3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines