Abstract
In this paper, we propose to study spectral measures on local fields. Some basic results are presented, including the stability of Bessel sequences under perturbation, the Landau theorem on Beurling density, the law of pure type of spectral measures, the boundedness of the Radon–Nikodym derivative of absolutely continuous F-spectral measures etc.
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Acknowledgments
My thanks go to Kasing Lau, Shilei Fan, and Lingmin Liao for their careful reading of the first version of the paper and for their remarks.
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Fan, A. (2015). Spectral Measures on Local Fields. In: Bohner, M., Ding, Y., Došlý, O. (eds) Difference Equations, Discrete Dynamical Systems and Applications. Springer Proceedings in Mathematics & Statistics, vol 150. Springer, Cham. https://doi.org/10.1007/978-3-319-24747-2_2
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DOI: https://doi.org/10.1007/978-3-319-24747-2_2
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