49 citations · 289 across the 45 of their papers we have counts for
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math.CA2017
A multi-term basis criterion for families of dilated periodic functions
Lyonell Boulton, Houry Melkonian
In this paper we formulate a concrete method for determining whether a system of dilated periodic functions forms a Riesz basis in . This method relies on a general frame…
math.NA2017
Computation of sharp estimates of the Poincaré constant on planar domains with piecewise self-similar boundary
Lehel Banjai, Lyonell Boulton
We establish a strategy for finding sharp upper and lower numerical bounds of the Poincaré constant on a class of planar domains with piecewise self-similar boundary. The approach…
math-ph2017★ 1 cited
Quantum Bound States in Yang-Mills-Higgs Theory
Lyonell Boulton, Bernd J Schroers, Kim Smedley-Williams
We give rigorous proofs for the existence of infinitely many (non-BPS) bound states for two linear operators associated with the Yang-Mills-Higgs equations at vanishing Higgs self-…