1 citations · 1 across the 5 of their papers we have counts for
5 papers
Large Fourier Quasicrystals and Wiener's Theorem
Sergey Favorov
We find new simple conditions for support of a discrete measure on Euclidean space to be a finite union of translated lattices. The arguments are based on a local analog of Wiener'…
Bohr and Besicovitch almost periodic discrete sets and quasicrystals
Sergey Favorov
A discrete set in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properti…
Multidimensional Version of Lagrange's Problem on Mean Motion
S. Ju. Favorov
The famous mean motion problem which goes back to Lagrange as follows: to prove that any exponential polynomial with exponents on the imaginary axis has an average speed for the am…
Sunyer-i-Balaguer's Almost Elliptic Functions and Yosida's Normal Functions
S. Ju. Favorov
We study the properties of two classes of meromorphic functions in the complex plane. The first one is the class of almost elliptic functions in the sense of Sunyer-i-Balaguer. Thi…
Almost periodic divisors, holomorphic functions, and holomorphic mappings
S. Favorov
We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generate…