Muntz-type theorems on the half-line with weights

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

We consider the linear span S of the functions tak (with some ak > 0) in
weighted L2 spaces, with rather general weights. We give one necessary and one
sufficient condition for S to be dense. Some comparisons are also made between
the new results and those that can be deduced from older ones in the
literature.

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