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Mishko Mitkovski
Basis properties of complex exponentials and invertibility of Toeplitz operators view print
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| Published: |
July 25, 2018 |
| Keywords: |
complex exponentials, Toeplitz operators, reproducing kernels, inner function. |
| Subject: |
30D20 |
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Abstract
We give a criterion for basicity of a sequence of complex exponentials in terms of the invertibility properties of a certain naturally associated Toeplitz operator. The criterion is similar to the well-known criterion of Hruschev, Nikolskii and Pavlov, the main difference being that we don't require preliminary translation of the frequency sequence to the upper half-plane.
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| Acknowledgements
Research supported in part by National Science Foundation DMS grant No. 1600874.
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| Author information
Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC 29634, USA
mmitkov@clemson.edu
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