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math.FA2026
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…
math.FA2025
Methods of construction of exponential bases on planar domains
Oleg Asipchuk, Laura De Carli
In this paper, we survey and refine several results -- some previously established in the literature -- that facilitate the construction of exponential bases on planar domains with…