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I am working in the field of research related to harmonic analysis on Lie groups and homogeneous trees. During my Ph.D., my research has primarily revolved around Wiener Tauberian theorems on semisimple Lie groups. Currently, I am engaged in problems related to multiplier and pseudo-differential operators and exploring their applications. Additionally, I am involved in research on the weighted estimates of integral operators.
I am working in the field of research related to harmonic analysis on Lie groups and homogeneous trees. During my Ph.D., my research has primarily revolved around Wiener Tauberian theorems on semisimple Lie groups. Currently, I am engaged in problems related to multiplier and pseudo-differential operators and exploring their applications. Additionally, I am involved in research on the weighted estimates of integral operators.
Published / Accepted articles
Weighted estimates for Hardy-Littlewood maximal functions on Harmonic NA groups with Pritam Ganguly and Jayanta Sarkar., Mathematische Zeitschrift, 2025. DOI, arXiv.
Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane with Michael Ruzhansky. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2024. DOI. arXiv.
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
Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type with Michael Ruzhansky, 2025. Submitted. arXiv.
L^p-L^q Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type with Michael Ruzhansky, 2024. Submitted. arXiv
Classical inequalities for all Fourier matrix coefficients of SL(2,ℝ) and their applications with Vishvesh Kumar, Michael Ruzhansky, 2024. Submitted. arXiv
Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type with Pratyoosh Kumar, Sanjoy Pusti, Mandeep Singh, 2024. Submitted. arXiv
Book Chapters
Recent Advances in Harmonic Analysis on the Group SL(2, R). In: Kumar, V., Rottensteiner, D., Ruzhansky, M. (eds) Pseudo-Differential Operators and Related Topics. PSORT 2024. Trends in Mathematics(), vol 8. Birkhäuser, Cham. DOI
A Note on Boundedness Properties of Pseudo-Differential Operators on Rank One Symmetric Spaces of Noncompact Type. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics(), vol 2. Birkhäuser, Cham. DOI.
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