Let C[0,2pi] be the inner product space of complex continuous functions on [0,2pi]. let { :k=1,2,3,....} be an orthonormal sequence in C[0,2pi], given by . Give an example of a function u such sum from k=1 to infinity. thanks for any help.
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Originally Posted by charikaar Let C[0,2pi] be the inner product space of complex continuous functions on [0,2pi]. let { :k=1,2,3,....} be an orthonormal sequence in C[0,2pi], given by . Give an example of a function u such sum from k=1 to infinity. You could try the constant function 1, or a function of the form .
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