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- W2004371752 abstract "In order to quantitatively illustrate the rôle of positivity in the Falconer distance problem, we construct a family of sign indefinite, compactly supported measures in ${Bbb R}^d$ , such that their Fourier transform and Fourier energy of dimension $s in (0, d)$ are uniformly bounded. However, the Mattila integral, associated with the Falconer distance problem for these measures is unbounded in the range $0 < s < frac{d^2}{2d-1}$ ." @default.
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- W2004371752 date "2007-03-23" @default.
- W2004371752 modified "2023-10-12" @default.
- W2004371752 title "On the Mattila Integral Associated with Sign Indefinite Measures" @default.
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- W2004371752 doi "https://doi.org/10.1007/s00041-005-5056-z" @default.
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