Danylo Radchenko
Max Planck Society
37 Papers
70 Citations
Danylo Radchenko is an academic researcher from Max Planck Society. The author has contributed to research in topics: Fourier transform & Type (model theory). The author has an hindex of 8, co-authored 26 publications. Previous affiliations of Danylo Radchenko include Taras Shevchenko National University of Kyiv & International Centre for Theoretical Physics.
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Papers
The sphere packing problem in dimension 24
TL;DR: In this article, it was shown that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing.
447
Fourier interpolation on the real line
TL;DR: In this paper, an explicit interpolation formula for Schwartz functions on the real line is presented, expressing the value of a function at any given point in terms of the values of the function and its Fourier transform.
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Well separated spherical designs
Abstract: For each $N\ge C_dt^d$ we prove the existence of a well separated spherical $t$-design in the sphere $S^d$ consisting of $N$ points, where $C_d$ is a constant depending only on $d$.
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Fourier interpolation with zeros of zeta and $L$-functions
TL;DR: In this article, a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line was constructed, based on a strengthening of Knopp's abundance principle for Dirichlet series with functional equations.
16
Fourier interpolation on the real line
TL;DR: In this paper, weakly holomorphic modular forms for the Hecke theta group were used to construct an explicit interpolation formula for Schwartz functions on the real line, expressing the value of a function at any given point in terms of the values of the function and its Fourier transform on the set
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