NISER

PhD , 2005, Indian Statistical Institute, (Bangalore Centre)
MSc., 1999, University of Calcutta

Harmonic Analysis

• CSIR NET
• NBHM Post Doctoral Fellow

• Variations on a theorem of Cowling-Price with applications to nilpotent Lie groups, with S. Thangavelu, J. Austral. Math. Soc. 82, (2007), 11-27.
• Beurling's theorem and Lp - Lq Morgan's theorem for step two nilpotent Lie groups, with  Rudra P. Sarkar, Publication, Research Institute for Mathematical Sciences, 44 (2008), 1027-1056.
• On theorems of Beurling and Hardy for certain step two nilpotent Lie groups, with S. Thangavelu, Integral Transforms and Special Functions ,Vol 20, No 2 (2009)
• Analyticity of the Schrödinger propagator on the Heisenberg group, with P. K. Ratnakumar, and S.Thangavelu Monatsh. Math. 168 (2012), no. 2
• Generalized Hermite expansions of functions arising from Hardy conditions. Adv. Pure Appl. Math. 4 (2013), no. 1, 67–91.
• Revisiting Beurling's theorem for Fourier–Dunkl transform, with S. Pusti. Integral Transforms and Special Functions, 2015 Vol. 26, No. 9, 687–699
• Hardy Inequality and Trace Hardy inequality for Dunkl Gradient with Anoop V.P. , Collectenia Mathematica, 2019, vol 70 367-398
• The Hardy Inequality and Fractional Hardy Inequality for Dunkl Lapla-cian Israel Journal Of Mathematics 236(2020), 247-278 (with Anoop V.P.)
• Ingham-type theorems for the Dunkl Fourier transforms,Complex Vari-ables and Elliptic Equations, (2020)  with M. Bhowmik and S Pusti.
• Existence of Extremals of Dunkl-type Sobolev Inequality and of Stein-Weiss Inequality for Dunkl Riesz PotentialComplex Analysis and Operator Theory 15 (2021), no. 2, Paper No. 28, 34 pp (with Anoop V.P. and Saswata Adhikari)
• Improved Fractional Hardy Inequalities for Dunkl gradient Math. Inequal. Appl. 24 (2021), no. 1, 129–155. , (with Anoop V.P.)
• Weighted Hardy Sobolev Inequality for Upper Half Space Annales Mathematiques Blaise Pascal, 25 pages (with Anoop V.P.) to appear

I work on Harmonic Analysis on Euclidean Spaces and Heisenberg Groups.

At present my research interest is Spherical harmonics, Hermite and Laguere expansion and Dunkl Transform.

2015-2016 Odd semester :M603 (Analysis-I) for Phd Students
2014-2015, Odd Semester: Harmonic Analysis (M555) Credit 4.

• Member of UGCS
• Member of PGCS