Add to ORKGIn this note, we give a description of rational maps from the open unit disc $\mathbb{D}$ to the pentablock that map the boundary of $\mathbb{D}$ to the distinguished boundary of the pentablock. We also obtain a new characterization of the distinguished boundary of the pentablock.Comment: Final revised versio
We study a relationship between rational proper maps of balls in different dimensions and strictly p...
Abstract. It is known that for coprime integers p> q ≥ 1, the lens space L(p2, pq−1) bounds a rat...
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...
In this paper we prove a Schwarz lemma for the pentablock. The set \[ \mathcal{P}=\{(a_{21}, \text{t...
Ph. D. ThesisThe tetrablock is the set E = fx 2 C3 : 1 x1z x2w + x3zw 6= 0 whenever jzj 1; jwj ...
PhD ThesisThe tetrablock E = {x ∈ C 3 : 1 − x1z − x2w + x3zw 6= 0 for |z| ≤ 1, |w| ≤ 1} has very...
AbstractWe establish the basic complex geometry and function theory of the pentablock P, which is th...
We analyze certain compositions of rational inner functions in the unit polydisk $\mathbb{D}^{d}$ wi...
A Γ-inner function is a holomorphic map h from the unit disc D to Γ whose boundary values at almost ...
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...
AbstractLetΓ=def{(z+w,zw):|z|≤1,|w|≤1}⊂C2. A Γ-inner function is a holomorphic map h from the unit d...
AbstractLetΓ=def{(z+w,zw):|z|≤1,|w|≤1}⊂C2. A Γ-inner function is a holomorphic map h from the unit d...
Every two-variable rational inner function on the bidisk has a special representation called a unita...
Every two-variable rational inner function on the bidisk has a special representation called a unit...
We study a relationship between rational proper maps of balls in different dimensions and strictly p...
Abstract. It is known that for coprime integers p> q ≥ 1, the lens space L(p2, pq−1) bounds a rat...
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...
In this paper we prove a Schwarz lemma for the pentablock. The set \[ \mathcal{P}=\{(a_{21}, \text{t...
Ph. D. ThesisThe tetrablock is the set E = fx 2 C3 : 1 x1z x2w + x3zw 6= 0 whenever jzj 1; jwj ...
PhD ThesisThe tetrablock E = {x ∈ C 3 : 1 − x1z − x2w + x3zw 6= 0 for |z| ≤ 1, |w| ≤ 1} has very...
AbstractWe establish the basic complex geometry and function theory of the pentablock P, which is th...
We analyze certain compositions of rational inner functions in the unit polydisk $\mathbb{D}^{d}$ wi...
A Γ-inner function is a holomorphic map h from the unit disc D to Γ whose boundary values at almost ...
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...
AbstractLetΓ=def{(z+w,zw):|z|≤1,|w|≤1}⊂C2. A Γ-inner function is a holomorphic map h from the unit d...
AbstractLetΓ=def{(z+w,zw):|z|≤1,|w|≤1}⊂C2. A Γ-inner function is a holomorphic map h from the unit d...
Every two-variable rational inner function on the bidisk has a special representation called a unita...
Every two-variable rational inner function on the bidisk has a special representation called a unit...
We study a relationship between rational proper maps of balls in different dimensions and strictly p...
Abstract. It is known that for coprime integers p> q ≥ 1, the lens space L(p2, pq−1) bounds a rat...
We establish the existence of a finite-dimensional unitary realization for every matrix-valued ratio...