On nonstrongly regular matrices
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- by J. Bazinet and J. A. Siddiqi PDF
- Proc. Amer. Math. Soc. 34 (1972), 428-432 Request permission
Abstract:
Using the Rudin-Shapiro sequence, the existence of a regular but not strongly regular positive matrix that sums $\{ \exp (2\pi ikt)\}$ to 0 for all $t \in (0,1)$ is established. As a corollary it is shown that there exist matrices that sum all almost periodic sequences without possessing the Borel property and vice versa.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 428-432
- MSC: Primary 40C05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0294935-3
- MathSciNet review: 0294935