3 papers
math.FA2025
Note on Robins' Conjecture in Dimension Four and Higher
Oleg Asipchuk
This article is motivated by a conjecture proposed by Sinai Robins in 2024. The conjecture asserts that two convex, centrally symmetric sets of positive measure that are not multi-…
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…
math.FA2024
Exponential bases on modified domains
Oleg Asipchuk
The stability of exponential bases on domains in has been widely studied, with much of the research focusing on small perturbations of the phase. In this paper, we consider…