V. Sholapurkar

collaborators

3 papers

math.FA2026

A solution to the Cauchy dual subnormality problem for a cyclic analytic $2$ -isometry with defect operator of rank two

Mandar Khasnis, Geetanjali Phatak, Vinayak Sholapurkar

The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a $2$ -isometry is subnormal. In this article, we prove that if $I^¼$ is a sum of unit point ma…

math.FA2025

An example of a cyclic analytic $2$ -isometry with defect operator of rank $3$ , whose Cauchy dual is not subnormal

Saee A. Joshi, Geetanjali M. Phatak, Vinayak M. Sholapurkar

The Cauchy dual subnormality problem (CDSP, for short) asks whether the Cauchy dual of a $2 -$ isometry is subnormal. In this article, we provide a counter-example to CDSP by constru…

math.FA2025

Joint Complete Monotonicity of reciprocal of a polynomial in two variables

Mandar Khasnis, V. M. Sholapurkar

In this article, we study some special cases of the problem of classifying polynomials $p : R_{+}^{2} \to (0, \infty)$ for which the net $\{\frac{1}{p(m,n)}\}_{m,n\in \mathbb{Z}_+…

A solution to the Cauchy dual subnormality problem for a cyclic analytic 2-isometry with defect operator of rank two

An example of a cyclic analytic 2-isometry with defect operator of rank 3, whose Cauchy dual is not subnormal

Joint Complete Monotonicity of reciprocal of a polynomial in two variables

A solution to the Cauchy dual subnormality problem for a cyclic analytic $2$ -isometry with defect operator of rank two

An example of a cyclic analytic $2$ -isometry with defect operator of rank $3$ , whose Cauchy dual is not subnormal