Let $C[0,1]$ denote the set of all real valued continuous functions over $[0,1]$. Can we list all the orthonormal bases of $C[0,1]$? In particular my interest to know that does there exist any basis involving exponential functions or hyperbolic functions?
2026-03-30 12:01:52.1774872112
Can we list all the orthonormal bases of $C[0,1]$?
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