2 citations · 3 across the 10 of their papers we have counts for
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Methods of Construction of Exponential Bases on Planar Domains Revised
Oleg Asipchuk, Laura De Carli
In [1], we surveyed classical and recent results on the construction of exponential bases on planar domains with explicit control over the associated frame bounds. We also construc…
Fourier sampling on a lattice
Oleg Asipchuk, Sinai Robins
We characterize the ambiguity in reconstructing bounded measurable sets from their Fourier transforms sampled on a lattice. For a full-rank lattice \(\mathcal L\subset\R^d\), we pr…
Rigidity in the planar Ulam floating body problem with perimetral densities under central symmetry
Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii
We prove that the only planar, centrally symmetric, strictly convex body with boundary that floats in equilibrium in every orientation for the perimetr…
Block-equivalent finite Gabor frames
Oleg Asipchuk, Laura De Carli, Luis Rodriguez
We study finite systems of vectors whose frame operator matrices are unitarily equivalent, via explicit and computationally efficient unitary transformations, to block-diagonal mat…
Rigidity in the Planar Ulam Floating Body Problem with perimetral density
Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii
We study the two-dimensional Ulam's floating body problem for convex domains with perimetral density . Using the framework of Zindler carousels, we reduce the problem t…