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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…