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The Balian-Low Theorem for \((C_q)\)-Systems in Shift-Invariant Spaces

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Acknowledgements

The results in this chapter should be considered joint work with Shahaf Nitzan and Michael Northington in connection with the collaborative work published in [22] and during visits at Vanderbilt University, Kent State University, and the Georgia Institute of Technology. The author thanks Chris Heil for valuable discussions on the Balian-Low theorem and Dechao Zheng for sharing his expertise on \(\mathcal {A}_p\) weights.

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Correspondence to Alexander M. Powell .

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Powell, A.M. (2023). The Balian-Low Theorem for \((C_q)\)-Systems in Shift-Invariant Spaces. In: Casey, S.D., Dodson, M.M., Ferreira, P.J.S.G., Zayed, A. (eds) Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41130-4_6

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