N. Tomar

collaborators

18 papers

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.CV2026

The Hexablock: a domain associated with the $I^¼$ -synthesis in $M_{2} (C)$

Indranil Biswas, Sourav Pal, Nitin Tomar

We introduce a domain named \textit{hexablock} in $C^{4}$ and show that its origin is a special case of $I^¼$ -synthesis in $M_{2} (C)$ , more precisely the $I^¼_{E}$ -unit bal…

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.FA2026

Operators associated with a domain in $C^{4}$ and applications

Sourav Pal, Nitin Tomar

The hexablock is a domain arising from a special case of the $I^¼$ -synthesis problem. We study the commuting operator tuples having the hexablock as a spectral set. Such a tuple is…

Function theoretic aspects of the symmetrized polydisc and generalization

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

The Hexablock: a domain associated with the I^¼-synthesis in M2​(C)

Intertwining of ∗-regular q-isometric dilations

Regular quantum annulus unitary dilation and applications

Operators associated with a domain in C4 and applications

The Hexablock: a domain associated with the $I^¼$ -synthesis in $M_{2} (C)$

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

Operators associated with a domain in $C^{4}$ and applications