What is the orthogonal complement in $L^2([ -π, π])$ of the set of all polynomials of odd degree? It is the set of all functions in $L^2([-π, π])$ such that $f(x)=f(-x)$ almost everywhere. But I can not show it. How to?
2026-03-28 21:34:21.1774733661
the orthogonal complement of the set of all polynomials of odd degree
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