3 papers
math.CA2026
Fourier-invariant functions with dense zero sets
Andriy Bondarenko, Kristian Seip
For every , we construct a nonzero real-valued continuous function in such that and $f_β(\sqrt{n}/[\lo…
math.NT2025
The basis functions of Fourier interpolation
David Berghaus, Andriy Bondarenko, Danylo Radchenko +2
The basis functions of the Fourier interpolation formula of Radchenko and Viazovska, constructed by means of weakly holomorphic modular forms for the Hecke theta group, are entire…
math.CV2025
Contractive Hardy--Littlewood inequalities in the Dirichlet range
Ole Fredrik Brevig, Aleksei Kulikov, Kristian Seip +1
The class consists of those analytic functions in the unit disc such that \[\|f\|_{α,p}^p := |f(0)|^p+\int_0^1 \left(\frac{d}{dr} M_p^p(r,f)\right) (1-r^2)^{α-1} \,d…