3 papers
math.AP2023
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…
math.CA2022
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…
math.FA2021
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.