Sahil Gehlawat

activity

20202026

most citedThe Reduced Bergman Kernel and its Properties

1 citations · 1 across the 11 of their papers we have counts for

collaborators

12 papers

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

Stability of the Monomial Basis Kernel of Reinhardt domains

Shreedhar Bhat, Sahil Gehlawat

On a pseudoconvex Reinhardt domain $Ω \subset C^{n}$ the $p$ -Bergman space $A^{p} (Ω)$ admits a canonical basis of monomials indexed by a subset $S_{p} (Ω) \subset Z^{n}$ . The…

math.CV2025

Riemann surface foliations with non-discrete singular set

Sahil Gehlawat

Let $F$ be a singular Riemann surface foliation on a complex manifold $M$ , such that the singular set $E \subset M$ is non-discrete. We study the behavior of the foliatio…

math.CV2024

Generic singularities of holomorphic foliations by curves on $P^{n}$

Sahil Gehlawat, Viêt-Anh Nguyên

Let $F_{d} (P^{n})$ be the space of all singular holomorphic foliations by curves on $P^{n}$ ( $n \geq 2$ ) with degree $d \geq 1.$ We show that there is subset…

math.CV2024

A Note on Kernel Functions of Dirichlet Spaces

Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar

For a planar domain $Ω$ , we consider the Dirichlet spaces with respect to a base point $ζ \in Ω$ and the corresponding kernel functions. It is not known how these kernel functions be…

math.CV2023

Few remarks on the Poincaré metric on a singular holomorphic foliation

Sahil Gehlawat

Let $F$ be a Riemann surface foliation on $M ∖ E$ , where $M$ is a complex manifold and $E \subset M$ is a closed set. Assume that $F$ is hyperbolic, i.e…

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

Stability of the Monomial Basis Kernel of Reinhardt domains

Riemann surface foliations with non-discrete singular set

Generic singularities of holomorphic foliations by curves on Pn

A Note on Kernel Functions of Dirichlet Spaces

Few remarks on the Poincaré metric on a singular holomorphic foliation

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

Generic singularities of holomorphic foliations by curves on $P^{n}$