D. DeepakK.

activity

20242026

collaborators

3 papers

math.CV2026

Approximation, interpolation, and lifting on the unit ball

Jaydeep Bhattacharjee, Deepak K. D., Jaydeb Sarkar

We solve the Nevanlinna-Pick interpolation problem on the open unit ball of the complex $n$ -space. Our solutions signify the role of inner functions on the unit ball, objects whose…

math.FA2025

Commutant lifting, interpolation, and perturbations on the polydisc

Deepak K. D., Jaydeb Sarkar

The fundamental theorem on commutant lifting due to Sarason does not carry over to the setting of the polydisc. This paper presents two classifications of commutant lifting in seve…

math.FA2024

Analytic primes, $M$ -ideals, and $p$ -sets in $H^{\infty} (D)$

Deepak K. D, Jaydeb Sarkar, Sreejith Siju

We investigate the structure of $p$ -sets, $M$ -ideals, and a newly introduced notion of analytic primes in $H^{\infty} (D)$ , where $H^{\infty} (D)$ denotes the Banach al…

Approximation, interpolation, and lifting on the unit ball

Commutant lifting, interpolation, and perturbations on the polydisc

Analytic primes, M-ideals, and p-sets in H∞(D)

Analytic primes, $M$ -ideals, and $p$ -sets in $H^{\infty} (D)$