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arXiv · 2102.08748

Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right-$H$-translation-invariant functions

Aparajita Dasgupta·Swaraj Paul·Santosh Kumar Nayak
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Abstract

By using a coset of closed subgroup, we define a Fourier like transform for locally compact abelian (LCA) topological groups. We studied two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian topological groups associated to the transform and show that the transforms are $L^p$bounded linear operators, and are in Schatten p-class for $1\leq p\leq \infty$. Finally, we determine their trace class and also obtain a connection with the generalized Landau-Pollak-Slepian operators.

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Aparajita Dasgupta, Swaraj Paul, Santosh Kumar Nayak. 2021-02-17. Two wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian groups associated to right-$H$-translation-invariant functions. https://arxiv.org/abs/2102.08748

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