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Completeness of translates in function spaces

Implementing Organization

Indian Institute of Technology (IIT)
Principal Investigator
Dr. Sivananthan Sampath
Department Of Physics, Indian Institute of Technology (IIT) Delhi

Project Overview

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.
Funding Organization
Funding Organization
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2023
End Year
2026
Sanction Amount
₹ 6.60 L
Status
Ongoing
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
N/A
Startup (If Any)
00
No. of Patents
Filed :01
Grant :00
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