Geodesic
Examples of exponential bases on union of intervals
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1296-1312

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In this paper, we construct explicit exponential bases of unions of segments of total measure one. Our construction applies to finite or infinite unions of segments, with some conditions on the gaps between them. We also construct exponential bases on finite or infinite unions of cubes in $\mathbb {R}^d$ and prove a stability result for unions of segments that generalize Kadec’s $\frac 14$-theorem.
DOI : 10.4153/S0008439523000371
Mots-clés : Exponential bases, Riesz bases, Riesz constants, frames, Kadec stability theorem 
Asipchuk, Oleg; Drezels, Vladyslav. Examples of exponential bases on union of intervals. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1296-1312. doi: 10.4153/S0008439523000371
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     title = {Examples of exponential bases on union of intervals},
     journal = {Canadian mathematical bulletin},
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     year = {2023},
     volume = {66},
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     doi = {10.4153/S0008439523000371},
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