P. Bhowmik

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math.CA2025

On spectral synthesis in $Z_{N}^{d}$

P. Bhowmik, S. Deodhar, A. Iosevich

A classical result due to Agranovsky and Narayanan (\cite{AN04}) says that if the support of the Fourier transform of $f : R^{n} \to C$ is carried by a smooth meas…

math.CA2024

Similar point configurations via group actions

P. Bhowmik, A. Greenleaf, A. Iosevich +2

We prove that for $d \geq 2, k \geq 2$ , if the Hausdorff dimension of a compact set $E \subset R^{d}$ is greater than $\frac{d ^{2}}{2 d - 1}$ , then, for any given $r > 0$ , there exi…

On spectral synthesis in ZNd​

Similar point configurations via group actions

On spectral synthesis in $Z_{N}^{d}$