12 citations · 12 across the 2 of their papers we have counts for
5 papers
Polynomial approximation, local polynomial convexity, and degenerate CR singularities
Gautam Bharali
We begin with the following question: given a closed disc in the complex plane and a complex-valued function F in , is the uniform algebra on genera…
The role of Fourier modes in extension theorems of Hartogs-Chirka type
David E. Barrett, Gautam Bharali
We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denote…
A procedure for constructing peak functions
Gautam Bharali
We extend Bishop's one-fourth three-fourths principle for constructing peak functions belonging to a uniform algebra to a situation where the ``approximate barriers'' associated wi…
On peak-interpolation manifolds for A(Ω) for convex domains in C^n
Gautam Bharali
Let Ωbe a bounded, weakly convex domain in C^n, n>1, having real-analytic boundary. A(Ω) is the algebra of all functions holomorphic in Ωand continuous upto the boundary. A submani…
On analytic interpolation manifolds in boundaries of weakly pseudoconvex domains
Gautam Bharali
Let be a bounded, weakly pseudoconvex domain in C^n, n > 1, with real-analytic boundary. A real-analytic submanifold is called an analytic interpolation manifol…