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- W1979732033 abstract "A test function space A L wp of smooth weighted L p -functions is constructed whose elements possess orthonormal series expansion converging in the space. Conditions for convergence in A L wp -space of any orthogonal series are obtained. The space of continuous linear functionals on A L wp is investigated and orthogonal series representations for its elements are given. Various special cases of the expansion are discussed, and their applications are pointed out." @default.
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- W1979732033 date "1988-03-01" @default.
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- W1979732033 title "Orthogonal series representations for generalized functions" @default.
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- W1979732033 doi "https://doi.org/10.1016/0022-247x(88)90308-3" @default.
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