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Cardinality

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Cardinality

It would be helpful to make some remarks about the cardinality of J.

If J is finite, then all is good.

However, there are areas where infinite orthonormal bases are common (e.g. Fourier analysis), which leads to difficulties with infinite sums: something has to be said about convergence.

See for example the entry on Fourier coefficients which references this entry.

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