Viewing topic: Orthonormal System

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Orthonormal System

  • Definition: Let S={f_0, f_1, f_2, ... } be a collection of square integrable functions on I. If = 0 whenever n does not equal m, then the collection S is said to be an orthogonal system on I. If, in addition, each f_n has norm 1, then S is said to be orthonormal on I.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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