6 papers
Cyclic polynomials in Dirichlet-type Spaces of the unit bidisk
Rajkamal Nailwal, Aljaž Zalar
For we consider the scale of function spaces, namely the Dirichlet-type space consisting of holomorphic functions on the unit bidisk , $f…
Invariant Subspaces and the -Property of -Brownian Shifts
Rajkamal Nailwal
In this paper, we introduce a -Brownian shift on the Hilbert space which is a natural extension of the clas…
A characterization of completely alternating functions
Monojit Bhattacharjee, Rajkamal Nailwal
In this article, we characterize completely alternating functions on an abelian semigroup in terms of completely monotone functions on the product semigroup $S\times \mathbb Z_…
Rank one perturbations of 2-isometries
Rajkamal Nailwal
In this paper, we investigate when a rank-one perturbation of a -isometry remains a -isometry. As an application, we identify several classes of -isometries on function sp…
Gaussian Quadratures with prescribed nodes via moment theory
Rajkamal Nailwal, Aljaž Zalar
Let be a positive Borel measure on the real line and let be the linear functional on univariate polynomials of bounded degree, defined as integration with respect to .…
The truncated univariate rational moment problem
Rajkamal Nailwal, Aljaž Zalar
Given a closed subset in , the rational -truncated moment problem (-RTMP) asks to characterize the existence of a positive Borel measure , supported on $K…