M. Khasnis

activity

20242026

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

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}_+…

math.FA2024

Cyclic Analytic 2-isometry of Finite Rank and Cauchy Dual Subnormality Problem

M. N. Khasnis, V. M. Sholapurkar

The Cauchy dual subnormality problem has attracted the attention of the researchers in recent years. In this article, we describe the problem and present a new counter example to t…

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

Joint Complete Monotonicity of reciprocal of a polynomial in two variables

Cyclic Analytic 2-isometry of Finite Rank and Cauchy Dual Subnormality Problem

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