Sanjay Parui

Submitted by parui on 18 July, 2014 - 14:10

Designation:

Reader-F

Research Area:

Harmonic Analysis

Education:

MSc. 1999, University of Calcutta

PhD 2005, Indian Statistical Institute (Bangalore Center)

Research Interest:

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.

Awards:

Publications:

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
Hardy Inequality and Fractional Hardy Inequality for Dunkl Laplacian with Anoop V.P. (accepted in Israel Journal of Mathematics) 2019

Preprints:

Improved Fractional Hardy Inequalites and Stein Weiss Inequlaity for Dunkl Gradient with Anoop V.P.
Existance of Extremals of Dunkl-type Sobolev Inequality and of Stein-Weiss inequality for Riesz Potential with Anoop V.P. and S Adhikari
Ingham-type theorems for the Dunkl Fourier transforms with S. Pusti and M Bhowmik

Teaching:

2014-2015, Odd Semester: Harmonic Analysis (M555) Credit 4.

Responsibility:

Project/Thesis Guidance:

PHd student Anoop V.P.

Academic Presentations:

Academic Visits:

School of Mathematical Sciences