PIs aim to study the completeness properties of a system of translates of a function in Orlicz spaces, a generalization of the Lebesgue spaces, and Lebesgue spaces on the Heisenberg group. More specifically, given a sets of translates $\Lambda$, we wish to find conditions on a function such that the span of its $\Lambda$-translates is dense in a given space. We would further like to explore different inclusion results and the decomposition properties of the system of translates.
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23
Indian Institute Of Technology (IIT) Delhi
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