Vishvesh Kumar

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math.FA2026

Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators

Julio Delgado, Vishvesh Kumar, Shyam Swarup Mondal

We investigate fractional heat semigroups generated by a class of anharmonic oscillators on $R^{n}$ of the form $H_{P, Q} = Q (D) + P (x),$ where $P \in P_{2 k}$ and…

math.FA2024

Classical inequalities for all Fourier matrix coefficients of $SL (2, R)$ and their applications

Vishvesh Kumar, Tapendu Rana, Michael Ruzhansky

In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for $(l, n)$ -ty…

Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators

Classical inequalities for all Fourier matrix coefficients of SL(2,R) and their applications

Classical inequalities for all Fourier matrix coefficients of $SL (2, R)$ and their applications