57 citations · 275 across the 73 of their papers we have counts for
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A Note on EVgrafov-Fedoryuk's theory and quadratic differentials
Boris Shapiro
The purpose of this short paper is to recall the theory of the (homogenized) spectral problem for a Schroedinger equation with a polynomial potential developed in the 60's by M. Ev…
Multiplier sequences and logarithmic mesh
Olga Katkova, Boris Shapiro, Anna Vishnyakova
In this note we prove a new result about (finite) multiplier sequences, i.e. linear operators acting diagonally in the standard monomial basis of R[x] and sending polynomials with…
Using homological duality in consecutive pattern avoidance
Anton Khoroshkin, Boris Shapiro
Using the approach suggested in [arXiv:1002.2761] we present below a sufficient condition guaranteeing that two collections of patterns of permutations have the same exponential ge…
New Multiplier Sequences via Discriminant Amoebae
Mikael Passare, Boris Shapiro, J. Maurice Rojas
In their classic 1914 paper, Polya and Schur introduced and characterized two types of linear operators acting diagonally on the monomial basis of R[x], sending real-rooted polynom…