On the excess of complex exponential systems in $$L^2(-a,a)$$.(English)Zbl 1083.30002

A new criterion is given for two complex sequences to have the same excess in the sense of Paley and Wiener in $$L^2(-a,a)$$. The author also presents some corollaries and several other results on the excess of complex sequences.

MSC:

 30B60 Completeness problems, closure of a system of functions of one complex variable 42C30 Completeness of sets of functions in nontrigonometric harmonic analysis

Keywords:

exponential systems; completeness
Full Text:

References:

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