N. Tomar

activity

20222026

most citedCharacterizations and models for the

C_{1, r}

class and quantum annulus

1 citations · 1 across the 21 of their papers we have counts for

collaborators

Showing 2026Show all

9 papers · 1 filter

math.CV2026

Function theoretic aspects of the symmetrized polydisc and generalization

Sourav Pal, Nitin Tomar

We introduce Schur-Agler type class for the symmetrized polydisc $G_{d}$ and establish a realization theorem for functions in this class. We state and prove an interpolation…

math.CV2026

Function theory of the hexablock and applications to the tetrablock and Euclidean biball

Sourav Pal, Nitin Tomar

The realization, interpolation, extension and Toeplitz corona problems are amongst the central themes in function theory of a domain in $C^{d}$ . The present work addresses t…

math.FA2026

Intertwining of $*$ -regular $q$ -isometric dilations

Nitin Tomar

A tuple $T = (T_{1}, \dots, T_{k})$ of contractions on a Hilbert space $H$ is said to be $q$ -commuting with $∥ q ∥ = 1$ if there exists a family of scalars $q=\{q_{ij}\i…

math.FA2026

Regular quantum annulus unitary dilation and applications

Nitin Tomar

Consider the annulus $A_{r} = {z \in C : r^{- 1} < ∣ z ∣ < r}$ for $r > 1$ and the quantum annulus \[ Q\mathbb{A}_r=\{T:\ T \text{ is an invertible operator and} \ \|T\|, \|T^{-…

math.CV2026

A Toeplitz corona theorem for the pentablock and applications

Sourav Pal, Nitin Tomar

We state and prove a Toeplitz corona theorem for the pentablock $P$ , a domain in $C^{3}$ given by \[ \mathbb{P}=\{(a_{21}, \text{tr}(A), \det(A)) \in \mathbb C^3 :…

math.CV2026

Realization, interpolation, extension on the pentablock and applications to $D^{2}$ , $G_{2}$

Sourav Pal, Nitin Tomar

We introduce Schur-Agler class for the pentablock $P$ and establish a realization theorem for functions in this class. Then we prove an interpolation theorem for the pentab…

math.FA2026

Rigidity of the structured singular value and applications

Sourav Pal, Nitin Tomar

The structured singular value $μ_{E}$ for a linear subspace $E$ of $M_{n} (C)$ is defined by \[ μ_E(A)=1 / \inf\{\|X\| \ : \ X \in E, \ \det(I_n-AX)=0 \} \quad (A \in M_n(\mathb…

math.CV2026

A domain in $C^{4}$ and its connection with $μ$ -synthesis problem

Sourav Pal, Nitin Tomar

We explore a domain $F$ in $C^{4}$ that has structural similarities with the hexablock $H \subset C^{4}$ . It leads to the question if these two domains…

math.FA2026

Spectral constants for the quantum annulus

Sourav Pal, James E. Pascoe, Nitin Tomar

We find several new estimates for the spectral constants $K (A_{r})$ for which a closed annulus $A_{r}$ or closed polyannulus $A_{r}^{n}$ is a…

Function theoretic aspects of the symmetrized polydisc and generalization

Function theory of the hexablock and applications to the tetrablock and Euclidean biball

Intertwining of ∗-regular q-isometric dilations

Regular quantum annulus unitary dilation and applications

A Toeplitz corona theorem for the pentablock and applications

Realization, interpolation, extension on the pentablock and applications to D2, G2​

Rigidity of the structured singular value and applications

A domain in C4 and its connection with μ-synthesis problem

Spectral constants for the quantum annulus

Intertwining of $*$ -regular $q$ -isometric dilations

Realization, interpolation, extension on the pentablock and applications to $D^{2}$ , $G_{2}$

A domain in $C^{4}$ and its connection with $μ$ -synthesis problem