Approximate properties of systems of exponents in the Sobolev spaces (Q1596180)

The paper deals with the proof of the fact that each of the following properties of the system of exponents in \(L_p(-\pi,\pi)\) \((C[-\pi,\pi])\) is equivalent to the same property in \(W_p^m(-\pi,\pi)\) \((C^m]-\pi,\pi[)\) of the system obtained by adding \(m\) exponents: completeness, minimality, uniform minimality, property of being the basis, the Riesz basis for \(p=2\), the unconditional basis or the summation basis.