Abstract
We show that, given a tempered distribution T whose Fourier transform is a function of polynomial growth and a point x in R n at which T has the value τ (in the sense of Łojasiewicz), the Fourier integral of T at x is summable in Bochner-Riesz means to τ.
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References
González Vieli, F. J. and Graham, C. C., On the Support of Tempered distributions, Arch. Math., 88 (2007), 133–142.
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González Vieli, F.J. Pointwise Fourier inversion of distributions. Anal. Theory Appl. 24, 87–92 (2008). https://doi.org/10.1007/s10496-008-0087-3
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DOI: https://doi.org/10.1007/s10496-008-0087-3