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.
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.