Shubham P. Jain

works on

commuting isometries 1 core operator 1 hardy spaces 1 hartogs triangle 1 operator theory 1

From the 1 of 6 linked papers with an AI index.

activity

20242026

collaborators

6 papers

math.FA2026

Pairs of commuting isometries via new core operator

Shubham Jain

The paper introduces a new core operator for pairs of commuting isometries, develops a positivity condition, and provides a functional model using vector‑valued Hardy spaces on the…

quant-ph2026

Quantum error correction and fault tolerance: A comprehensive tutorial

Daniel J. Spencer, Shubham P. Jain, Andrew Tanggara +4

Noise is one of the central obstacles to building useful quantum computers, and quantum error correction (QEC) provides the framework for protecting quantum information against it.…

math.FA2025

Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem

Shubham Jain, Surjit Kumar, Milan Kumar Mal +1

We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpol…

math.FA2025

Brown-Halmos type characterization for the tetrablock

Shubham Jain, Surjit Kumar, Milan Kumar Mal +1

In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero oper…

math.CV2025

A transference principle for involution-invariant functional Hilbert spaces

Santu Bera, Sameer Chavan, Shubham Jain

Let $I ¨ : C^{d} \to C^{d}$ be an affine-linear involution such that $J_{I ¨} = - 1$ and let $U, V$ be two domains in $C^{d} .$ Let $I ¨ : U \to V$ be a $Ï…

math.FA2024

Toeplitz operators on the $n$ -dimensional Hartogs triangle

Shubham Jain, paramita pramanick

We formally introduce and study Toeplitz operators on the Hardy space of the $n$ -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz o…