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Sampling and Interpolation in Gaussian Mixed-Norm Fock Spaces
We establish sharp sampling and interpolation criteria for the radial--angular Gaussian mixed-norm Fock spaces $\mathcal F_α^{p,q}$, where $α>0$ and $0<p,q\le\infty$. The natural point-evaluation scale leads to the normalized restriction $R_{α,Λ}^{p,q}f = \bigl(f(λ)e^{-\fracα{2}|λ|^2}(1+|λ|)^{\frac{
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