Research
Title : | Completeness of translates in function spaces |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Sivananthan Sampath, Indian Institute Of Technology (IIT) Delhi |
Timeline Start Year : | 2023 |
Timeline End Year : | 2026 |
Contact info : | siva@maths.iitd.ac.in |
Details
Executive Summary : | 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. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Technology (IIT) Delhi Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source :Science and Engineering Research Board (SERB), DST 2022-23 | |