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राष्ट्रीय विज्ञान शिक्षा एवं अनुसंधान संस्थान
परमाणु ऊर्जा विभाग, भारत सरकार का एक स्वयंशासित संस्थान

National Institute of Science Education and Research
AN AUTONOMOUS INSTITUTE UNDER DAE, GOVT. OF INDIA

 

Sanjay Parui

Associate Professor
 
 

paruiniser.ac.in
+91-674-2494087

  • Mathematical Sciences
  • IRINS Profile
  • Since: 08-Apr-2009
  • Office: 225

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