6 papers
Runge embeddings, approximation of biholomorphisms on Stein manifolds, and the Loewner PDE
Sushil Gorai, Gourab Paul
We develop an extension-by-approximation principle for holomorphic Runge embeddings of increasing union of Stein manifolds into Stein manifolds with density property. The basic hyp…
Carleman Approximation for certain sets with an isolated singularity
Harshith Alagandala, Sushil Gorai
In this paper, we prove that local polynomial convexity at the origin for the union of finitely many transverse totally real subspaces of maximal dimension is sufficient for Carlem…
Flow invariant Runge domains and global linearization of holomorphic vector fields
Sanjoy Chatterjee, Sushil Gorai
In this paper, we study two problems concerning holomorphic flows on . First, we prove Runge-type results for positive-time flow invariant domains. For a linear flow $…
Approximations on certain domains of
Sanjoy Chatterjee, Sushil Gorai
In this paper, we study the domains in that are invariant under the positive flows of some globally defined, complete holomorphic vector field with a globally attrac…
Uniform approximation on certain polynomial polyhedra in
Sushil Gorai, Golam Mostafa Mondal
In this paper we extend the dichotomy given by Samuelsson and Wold that can be thought of as an analogue of the Wermer maximality theorem in for certain polynomial p…
Certain real surfaces in with isolated singularities
Sushil Gorai
Under certain geometric condition, the surfaces in with isolated CR singularity at the origin and with cubic lowest degree homogeneous term in its graph near the ori…