In this paper we consider the problem of L2 expansions in series of fractional parts for funcions f belonging to (L2 ([0,1], R) which are odd with respect to the point 1/2. Sufficient conditions are given, but we also prove by the Banach-Steinhaus theorem that this is not always possible.
$L\sp 2$ expansions in series of fractional parts.
CODECA', Paolo;TADDIA, Nicola
2002
Abstract
In this paper we consider the problem of L2 expansions in series of fractional parts for funcions f belonging to (L2 ([0,1], R) which are odd with respect to the point 1/2. Sufficient conditions are given, but we also prove by the Banach-Steinhaus theorem that this is not always possible.File in questo prodotto:
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