Amar Deep Sarkar

activity

20192026

most citedTransformation formula for the Reduced Bergman kernel and its Application

4 citations · 6 across the 11 of their papers we have counts for

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Showing 2026 · math.CVShow all

3 papers · 2 filters

math.CV2026

Kobayashi visibility of strictly convex domains

Nikolai Nikolov, Amar Deep Sarkar

We show that any bounded strictly convex domain in $C^{N}$ , endowed with the Kobayashi distance, is visible.

math.CV2026

A Canonical Positive Definite Kernel Associated with the $ξ$ -Bergman Kernel

Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar

Let $Ω \subset C^{n}$ and $ξ \in ℓ^{1}$ . The $ξ$ -Bergman kernel $K_{ξ, Ω}$ , introduced by Bao and Guan, generalizes the classical Bergman kernel by replacing the point ev…

math.CV2026

On the exponential convergence of Kobayashi geodesics in strongly convex domains

Kingshook Biswas, Sanjoy Chatterjee, Amar Deep Sarkar

In this paper, we have proved a quantitative version of the approaching geodesic property for certain convex domains. We have proved that that if $Ω \subset C^{d}$ is a bou…

Kobayashi visibility of strictly convex domains

A Canonical Positive Definite Kernel Associated with the ξ-Bergman Kernel

On the exponential convergence of Kobayashi geodesics in strongly convex domains

A Canonical Positive Definite Kernel Associated with the $ξ$ -Bergman Kernel