Abstract
We show that the trace of an indefinitely oscillating function on a subspace of ℝd is not always indefinitely oscillating. In the periodic case, the number of oscillations of the trace depends on the regularity of the function. In the general case, we exhibit a definitive counter-example.
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Communicated by Stéphane Jaffard
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Aubry, J.M. Traces of oscillating functions. The Journal of Fourier Analysis and Applications 5, 331–345 (1999). https://doi.org/10.1007/BF01259374
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DOI: https://doi.org/10.1007/BF01259374