60 citations · 137 across the 42 of their papers we have counts for
44 papers
Fourier sampling on a lattice
Oleg Asipchuk, Sinai Robins
We characterize the ambiguity in reconstructing bounded measurable sets from their Fourier transforms sampled on a lattice. For a full-rank lattice \(\mathcal L\subset\R^d\), we pr…
The integer point enumerator of one irrational translate of P is a complete invariant
Sinai Robins
For a full-dimensional rational polytope and a real dilation parameter , the integer point enumerator is defined by . W…
Rational eigenfunctions of the Hecke operators
André Rosenbaum Coelho, Caio Simon de Oliveira, Sinai Robins
We study the action of the Hecke operators on the space of rational functions in one variable, over . The main goal is to give a complete classificati…
The integer point transform as a complete invariant
Sinai Robins
The integer point transform is an important invariant of a rational polytope , and here we show that it is a complete invariant. We prove that it is on…
Sharp inequalities for discrete and continuous multi-tiling, using the Bombieri-Siegel approach
Michel Faleiros Martins, Sinai Robins
Given a finite subset of integer points in , it is of interest to seek conditions on that allow it to multi-tile by translations. To this end, we…
On the period collapse of a family of Ehrhart quasi-polynomials
Cristina G. Fernandes, José C. de Pina, Jorge L. Ramírez Alfonsín +1
A graph whose nodes have degree 1 or 3 is called a -graph. Liu and Osserman associated a polytope to each -graph and studied the Ehrhart quasi-polynomials of thes…