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The term

on page 56:

So I have looked in other books on functional analysis, harmonic analysis...and even on Google and I cannot find any other text reference that uses this term. This book is very sophisticated, but a bit dated and unfortunately has no bibliography. So my question is this:

What is the contemporary term for an approximating basis of a countably infinite dimensional linear space over ℝ(or ℂ) equipped with an inner product?

*approximating basis*is used by author Harry Floyd David is his book Fourier Series and Orthogonal Functionson page 56:

So I have looked in other books on functional analysis, harmonic analysis...and even on Google and I cannot find any other text reference that uses this term. This book is very sophisticated, but a bit dated and unfortunately has no bibliography. So my question is this:

What is the contemporary term for an approximating basis of a countably infinite dimensional linear space over ℝ(or ℂ) equipped with an inner product?

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