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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…
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…