Research
I am working in the field of research related to harmonic analysis on Lie groups and homogeneous trees. My research has primarily revolved around Wiener Tauberian theorems on semisimple Lie groups. Currently, I am engaged in problems related to multiplier operators and pseudo-differential operators and exploring their applications. Additionally, I am involved in research related to the boundedness of Hardy-Littlewood maximal functions.
Published articles
L^p-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type with Sanjoy Pusti. Mathematische Zeitschrift, 2023. DOI , arXiv.
L^p-boundedness of pseudo-differential operators on homogeneous trees with Sumit Kumar Rano. Studia Mathematica, 2023. DOI, arXiv.
Wiener Tauberian theorems for certain Banach algebras on real rank one semisimple Lie groups. Journal of the Australian Mathematical Society, 2023. DOI.
A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on SL(2,ℝ). Forum Mathematicum, 2021. DOI, arXiv .
Preprints
Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane with Michael Ruzhansky. Submitted. arXiv.
Weighted estimates for Hardy-Littlewood maximal functions on Harmonic NA groups with Pritam Ganguly and Jayanta Sarkar. Submitted. arXiv.