3 papers
math.FA2025
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…
math.FA2025
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…
math.CA2025
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…