Rajkamal Nailwal

activity

20222026

collaborators

9 papers

math.FA2026

Truncated Moment Problems and the Extension Property on Monomial Curves

Rajkamal Nailwal, Aljaž Zalar, Igor Zobovič

In several papers, Stochel and Szafraniec studied moment problems on algebraic sets from an operator-theoretic perspective, investigating when positive definite sequences satisfyin…

math.FA2026

Invariant Subspaces and the $C_{00}$ -Property of $3$ -Brownian Shifts

Rajkamal Nailwal

In this paper, we introduce a $3$ -Brownian shift $T_{σ, θ}$ on the Hilbert space $H^{2} (D^{2}) \oplus H^{2} (D) \oplus C,$ which is a natural extension of the classi…

math.FA2025

Cyclic polynomials in Dirichlet-type Spaces of the unit bidisk

Rajkamal Nailwal, Aljaž Zalar

For $α \in R,$ we consider the scale of function spaces, namely the Dirichlet-type space $D_{α}$ consisting of holomorphic functions on the unit bidisk $D^{2}$ , $f(z…

math.FA2025

Rank one perturbations of 2-isometries

Rajkamal Nailwal

In this paper, we investigate when a rank-one perturbation of a $2$ -isometry remains a $2$ -isometry. As an application, we identify several classes of $2$ -isometries on function sp…

math.FA2024

Gaussian Quadratures with prescribed nodes via moment theory

Rajkamal Nailwal, Aljaž Zalar

Let $μ$ be a positive Borel measure on the real line and let $L$ be the linear functional on univariate polynomials of bounded degree, defined as integration with respect to $μ$ . I…

math.FA2024

The truncated univariate rational moment problem

Rajkamal Nailwal, Aljaž Zalar

Given a closed subset $K$ in $R$ , the rational $K$ -truncated moment problem ( $K$ -RTMP) asks to characterize the existence of a positive Borel measure $μ$ , supported on $K$ …

math.FA2024

A characterization of completely alternating functions

Monojit Bhattacharjee, Rajkamal Nailwal

In this article, we characterize completely alternating functions on an abelian semigroup $S$ in terms of completely monotone functions on the product semigroup $S\times \mathbb Z_…

math.FA2023

A complete solution to the Cauchy dual subnormality problem for torally expansive toral $3$ -isometric weighted $2$ -shifts

Rajkamal Nailwal

In this paper, we present a complete solution to the Cauchy dual subnormality problem for torally expansive toral $3$ -isometric weighted $2$ -shifts. This solution is obtained by so…

math.FA2022

Joint complete monotonicity of rational functions in two variables and toral $m$ -isometric pairs

Akash Anand, Sameer Chavan, Rajkamal Nailwal

We discuss the problem of classifying polynomials $p : R_{+}^{2} \to (0, \infty)$ for which $\frac{1}{p} = {\frac{1}{p ( m , n )}}_{m, n \geq 0}$ is joint completely monoto…

Truncated Moment Problems and the Extension Property on Monomial Curves

Invariant Subspaces and the C00​-Property of 3-Brownian Shifts

Cyclic polynomials in Dirichlet-type Spaces of the unit bidisk

Rank one perturbations of 2-isometries

Gaussian Quadratures with prescribed nodes via moment theory

The truncated univariate rational moment problem

A characterization of completely alternating functions

A complete solution to the Cauchy dual subnormality problem for torally expansive toral 3-isometric weighted 2-shifts

Joint complete monotonicity of rational functions in two variables and toral m-isometric pairs

Invariant Subspaces and the $C_{00}$ -Property of $3$ -Brownian Shifts

A complete solution to the Cauchy dual subnormality problem for torally expansive toral $3$ -isometric weighted $2$ -shifts

Joint complete monotonicity of rational functions in two variables and toral $m$ -isometric pairs