Introduction

Recall that if V is an inner product space and {a1, a2, . . . , an} is an orthonormal basis, then an element x of V can be written x=Sum(k=1 to infinity) IP(x,ak)ak. The coefficients IP(x,ak) are called the Fourier Coefficients of x. (IP(x,ak) stands for the inner product of x and ak.)

We want to see how this relates to "traditional" Fourier series.

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