S. Chavan

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20172022

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math.CV2022

Operator theory on generalized Hartogs triangles

Sameer Chavan, Shubham Jain, Paramita Pramanick

We consider the family $P$ of $n$ -tuples $P$ consisting of polynomials $P_{1}, \dots, P_{n}$ with nonnegative coefficients which satisfy $\partial_{i} P_{j} (0) = δ_{i, j},$ $i, j…

math.CV2017

Dirichlet Spaces Associated With Locally Finite Rooted Directed Trees

Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi

Let $T = (V, E)$ be a leafless, locally finite rooted directed tree. We associate with $T$ a one parameter family of Dirichlet spaces $\mathscr H_q~(q \geq…