I'm looking to show that this family of vectors defined in this picture are orthonormal with respect to the $L^2$ inner product. I have managed to show they are orthogonal however end up finding their lengths to be $1/\sqrt{2\pi}$ rather than 1. I'm sure I'm making a simple error here but I can't see it.
2026-03-29 15:33:01.1774798381
Orthonormal family in $L^{2}([0,2\pi])$
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