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On the Zeros and Closure of Orthogonal Functions


     

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This note deals primarily with infinite sets of continuous functions Φn(x) uniformly bounded and orthonormal over (0,I), i.e. the sequence being Φ1, Φ2, ........., Φn,

∫Φ,Φ1dx = δn, |Φn|≤M for all n, 0≤x≤I.


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  • On the Zeros and Closure of Orthogonal Functions

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Abstract


This note deals primarily with infinite sets of continuous functions Φn(x) uniformly bounded and orthonormal over (0,I), i.e. the sequence being Φ1, Φ2, ........., Φn,

∫Φ,Φ1dx = δn, |Φn|≤M for all n, 0≤x≤I.