Math
show the completeness of the space of generalized functions?
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Asked by
dream19
Last updated by
anonymous
A set of orthogonal functions is termed complete in the closed interval if, for every piecewise continuous function in the interval, the minimum square error
(where denotes the L2-norm with respect to a weighting function ) converges to zero as becomes infinite. Symbolically, a set of functions is complete if
where the above integral is a Lebesgue integral.