2 citations · 3 across the 11 of their papers we have counts for
11 papers
Restriction Theorem and Strichartz estimate for orthonormal functions associated with the Special Hermite Operator
Sunit Ghosh, Jitendriya Swain
Let be the special Hermite operator on . As a continuation of the recent results in \cite{SG}, we establish new Strichartz estimates for systems of orth…
Heisenberg-Pauli-Weyl uncertainty principles for the fractional Dunkl transform on the real line
Sunit Ghosh, Younis Ahmad Bhat, Jitendriya Swain
The aim of the paper is two-fold. First, we provide an explicit form of the functions for which equality holds for the uncertainty inequalities studied in \cite{Fei}. Second, we es…
On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators
Sunit Ghosh, Jitendriya Swain
In \cite{PRA} and \cite{SSM} the orthonormal Strichartz estimates for the Schrödinger equation associated with the Dunkl Laplacian and the Dunkl-Hermite operator are obtained. In t…
On local dispersive and Strichartz estimates for the Grushin operator
Sunit Ghosh, Shyam Swarup Mondal, Jitendriya Swain
Let denote the Grushin operator on . The aim of this paper is two fold. In the first part, due to the non-dispersive phenomena of the G…
Restriction theorem for the Fourier-Hermite transform associated with the normalized Hermite polynomials and the Ornstein-Uhlenbeck-Schrödinger equation
Sunit Ghosh, Jitendriya Swain
In this article, we prove the analogue theorems of Stein-Tomas and Srtichartz on the discrete surface restrictions of Fourier-Hermite transforms associated with the normalized Herm…
Strichartz inequality for orthonormal functions associated with special Hermite operator
Shyam Swarup Mondal, Jitendriya Swain
In this article, we obtain the Strichartz estimate for the system of orthonormal functions associated with the special Hermite operator.
Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schrödinger equation
Shyam Swarup Mondal, Jitendriya Swain
In this article, we prove the restriction theorem for the Fourier-Hermite transform and obtain the Strichartz estimate for the system of orthonormal functions for the Hermite opera…
Szegö type limit theorems on the Heisenberg group
Shyam Swarup Mondal, Jitendriya Swain
Let be the Schrödinger operator on the Heisenberg group , where is the full laplacian on and is a…
Balian-Low type theorems on
Anirudha Poria, Jitendriya Swain
In this paper we prove amalgam Balian-Low theorems and Balian-Low type theorems on for the special Hermite operator using the Weyl transform.
Hilbert space valued Gabor frames in weighted amalgam spaces
Anirudha Poria, Jitendriya Swain
Let be a separable Hilbert space. In this paper we establish a generalization of Walnut's representation and Janssen's representation of the valued Gabor…
Szego limit theorem on the lattice
Jitendriya Swain, M. Krishna
In this paper, we prove a Szegö type limit theorem on $\ell^2(\ZZ^d)$. We consider operators of the form , multiplication by a positive sequence $\{V(n), n \in \ZZ^d\}$…