Areas of Research

Harmonic Analysis

1. Difference spectrum and locally non synthesizable points, UGC- Minor research project ( 2005-2007),
2. Weak C-set –S-set problem and related problems in spectral synthesis, UGC – Major research project (2012-2015).

• On unions and intersections of sets of synthesis, Proceedings of American Mathematical society volume 123, Number 4 , 1995.
• On Ditkin sets, ColloquiumMathematicum, vol LXIX , 1995 .
• Non synthesizable intersections of sets of synthesis, Bulletin of London Mathematical society, volume 28, 373-374, 1996.
• Difference spectrum and spectral synthesis, Tohoku Mathematical Journal, volume 51, 65-73 , 1996.
• Weak Wiener- Ditkin sets, ActaMathematicaHungarica, volume 133(4), 359-364, 2011.
• Some remarks on spectral synthesis sets ,Ukrainian Mathematical journal , volume 67 (10), 1611-1617, 2016.
• Some remarks on weak Wiener-Ditkin sets The Journal of Analysis 29, 353-358 (2021) Springer.