Add to ORKGWe analyze certain compositions of rational inner functions in the unit polydisk $\mathbb{D}^{d}$ with polydegree $(n,1)$, $n\in \mathbb{N}^{d-1}$, and isolated singularities in $\mathbb{T}^d$. Provided an irreducibility condition is met, such a composition is shown to be a rational inner function with singularities in precisely the same location as those of the initial function, and with quantitatively controlled properties. As an application, we answer a $d$-dimensional version of a question posed in \cite{BPS22} in the affirmative.Comment: 10p
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...
In this note, we give a description of rational maps from the open unit disc $\mathbb{D}$ to the pen...
A rational polytope is the convex hull of a finite set of points in R[superscript d] with rational c...
We study the boundary behavior of rational inner functions (RIFs) in dimensions three and higher fro...
Motivated by recent work in the mathematics and engineering literature, we study integrability and n...
Every two-variable rational inner function on the bidisk has a special representation called a unit...
Every two-variable rational inner function on the bidisk has a special representation called a unita...
PhD ThesisThe tetrablock E = {x ∈ C 3 : 1 − x1z − x2w + x3zw 6= 0 for |z| ≤ 1, |w| ≤ 1} has very...
\documentclass[12pt]{amsart} \begin{document} When $p(z_1,\ldots , z_d)$ is a polynomial in $d$ vari...
In this thesis we consider problems related to rational inner functionsand several different Hilbert...
In this thesis we consider problems related to rational inner functionsand several different Hilbert...
A toral algebraic set A is an algebraic set in Cn whose intersection with Tn is sufficiently large t...
A toral algebraic set A is an algebraic set in Cn whose intersection with Tn is sufficiently large t...
Ph. D. ThesisThe tetrablock is the set E = fx 2 C3 : 1 x1z x2w + x3zw 6= 0 whenever jzj 1; jwj ...
We show that the only $\psi$-Dirichlet numbers in a function field over a finite field are rational ...
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...
In this note, we give a description of rational maps from the open unit disc $\mathbb{D}$ to the pen...
A rational polytope is the convex hull of a finite set of points in R[superscript d] with rational c...
We study the boundary behavior of rational inner functions (RIFs) in dimensions three and higher fro...
Motivated by recent work in the mathematics and engineering literature, we study integrability and n...
Every two-variable rational inner function on the bidisk has a special representation called a unit...
Every two-variable rational inner function on the bidisk has a special representation called a unita...
PhD ThesisThe tetrablock E = {x ∈ C 3 : 1 − x1z − x2w + x3zw 6= 0 for |z| ≤ 1, |w| ≤ 1} has very...
\documentclass[12pt]{amsart} \begin{document} When $p(z_1,\ldots , z_d)$ is a polynomial in $d$ vari...
In this thesis we consider problems related to rational inner functionsand several different Hilbert...
In this thesis we consider problems related to rational inner functionsand several different Hilbert...
A toral algebraic set A is an algebraic set in Cn whose intersection with Tn is sufficiently large t...
A toral algebraic set A is an algebraic set in Cn whose intersection with Tn is sufficiently large t...
Ph. D. ThesisThe tetrablock is the set E = fx 2 C3 : 1 x1z x2w + x3zw 6= 0 whenever jzj 1; jwj ...
We show that the only $\psi$-Dirichlet numbers in a function field over a finite field are rational ...
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...
In this note, we give a description of rational maps from the open unit disc $\mathbb{D}$ to the pen...
A rational polytope is the convex hull of a finite set of points in R[superscript d] with rational c...