Uniform partitions of frames of exponentials into Riesz sequences |
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| Authors: | Darrin Speegle |
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| Affiliation: | Department of Mathematics and Computer Science, St. Louis University, 221 North Grand Blvd., St. Louis, MO 63103, USA |
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| Abstract: | The Feichtinger conjecture, if true, would have as a corollary that for each set E⊂[0,1] and Λ⊂Z, there is a partition Λ1,…,ΛN of Z such that for each 1?i?N,  is a Riesz sequence. In this paper, sufficient conditions on sets E⊂[0,1] and Λ⊂R are given so that  can be uniformly partitioned into Riesz sequences. |
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| Keywords: | Beurling density Beurling dimension Riesz sequence Frame of exponentials Feichtinger conjecture |
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