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(Solved): Ex.1. Check that functions en=cos2L(2n+1)x, en2=2L,nN={1,2,3} form orthog ...
Ex.1. Check that functions en=cos2L(2n+1)πx, ∥en∥2=2L,n∈N={1,2,3…} form orthogonal basis in L2(0,4). Hint. Use Th.1., φn=∥en∥en. After scaling, you cen