Systems biorthogonal to exponential systems on a finite union of intervals

preprint2022arXivOpen access

We study the properties of a system biorthogonal to a complete and minimal system of exponentials in $L^2(E)$ , where $E$ is a finite union of intervals, and show that in the case when $E$ is a union of two or three intervals the biorthogonal system is also complete.

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Systems biorthogonal to exponential systems on a finite union of intervals

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