Research

Publications

(1) P. Devaraj,  A. K. Garg and Y. Shanmugam, Average and convolution sampling over shift-invariant spaces, Complex Analysis and Operator Theory . 16(20) 2022. https://doi.org/10.1007/s11785-021-01165-9.

(2) S. Arati , P. Devaraj and A. K. Garg, Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces, Results in Mathematics . 77(223) 2022. https://link.springer.com/article/10.1007/s00025-022-01738-w.

(3) P. Devaraj and A. K. Garg, Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups, Banach Journal of Mathematical Analysis. 17(15) 2023. https://doi.org/10.1007/s43037-022- 00241-2.

Sumitted Work

(1) S. Arati , P. Devaraj and A. K. Garg, Random average sampling over quasi shift-invariant spaces on LCA groups.

PhD Thesis 

A Study on Reconstruction from Local Average and Random Average Samples over Shift-Invariant Spaces. 

Research Statement

Please find the attached research statement.