On complete characterization of coefficients of a.e. converging orthogonal series

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dc.creatorPaszkiewicz, Adam
dc.date2005-07-27
dc.date.accessioned2026-07-07T05:22:03Z
dc.date.available2026-07-07T05:22:03Z
dc.descriptionWe characterize sequences of numbers $(a_n)$ such that $\sum_{n\geq 1} a_nΦ_n$ converges a.e. for any orthonormal system $(Φ_n)$ in any $L_2$-space. In our criterion, we use the set $B =\{\sum_{m\geq n} |a_m|^2; n\geq 1\}$ and its information function $$h_B(t) = -\log_3(β-α)$$ for $t\in (α, β]$, $[α, β]\cap B =\{α, β\}.$
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0507568
dc.identifierhttp://arxiv.org/abs/math/0507568
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75917
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject40A30
dc.titleOn complete characterization of coefficients of a.e. converging orthogonal series
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