Publications

(Link on each title is directed to its arXiv version. Clicking on a DOI link will take you to the current URL of published articles.)

• Preprints

1.  NIL

• Published/Accepted

2. Nishta Garg and Rahul Garg, Riesz transforms associated with the twisted Laplacian with drift, J. Fourier Anal. Appl. 31 (2025), no. 4, Paper No. 47, 33 pp. (DOI: 10.1007/s00041-025-10172-9).

3. Sayan Bagchi, Rahul Garg, and Joydwip Singh, On extension of Calderón-Zygmund type singular integrals and their commutators, Proc. Indian Acad. Sci. Math. Sci. 134 (2024), no. 2, Paper No. 32, 30 pp. (DOI: 10.1007/s12044-024-00804-3)

4. Rahul Garg and Sundaram Thangavelu, Boundedness of certain linear operators on twisted Fock spaces, Math. Z. 307 (2024), no. 2, 39. (DOI: 10.1007/s00209-024-03500-0) 

5. Sayan Bagchi, Riju Basak, Rahul Garg, and Abhishek Ghosh, On some operator-valued Fourier pseudo-multipliers associated to Grushin operators, J. Math. Anal. Appl. 539 (2024), no. 1, part 1, Paper No. 128498. (DOI: 10.1016/j.jmaa.2024.128498)

6. Sayan Bagchi, Riju Basak, Rahul Garg, and Abhishek Ghosh, Sparse bounds for pseudo-multipliers associated to Grushin operators, II, J. Geom. Anal. 34 (2024), no. 2, 34. (DOI: 10.1007/s12220-023-01473-w)

7. Sayan Bagchi and Rahul Garg, On L2-boundedness of pseudo-multipliers associated to the Grushin operator, J. Funct. Anal. 286 (2024), no. 3, 110252, 74 pp. (DOI: 10.1016/j.jfa.2023.110252)

8. Sayan Bagchi, Riju Basak, Rahul Garg, and Abhishek Ghosh, Sparse bounds for pseudo-multipliers associated to Grushin operators, I, J. Fourier Anal. Appl. 29 (2023), no. 3, Paper No. 27, 38 pp. (DOI: 10.1007/s00041-023-10010-w) 

9. Rahul Garg and K. Jotsaroop, Localisation of Spectral Sums corresponding to the sub-Laplacian on the Heisenberg Group, Indiana Univ. Math. J. 71 (2022), no. 2, 579-609. (DOI: 10.1512/iumj.2022.71.8889) 

10. Riju Basak, Rahul Garg, and Sundaram Thangavelu, Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group, J. Funct. Anal. 281 (2021), no. 8, 109154, 45 pp. (DOI: 10.1016/j.jfa.2021.109154) 

11. Rahul Garg, Luz Roncal, and Saurabh Shrivastava, Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function, J. Geom. Anal. 31 (2021), no. 1, 748-771. (DOI: 10.1007/s12220-019-00297-x) 

12. Rahul Garg and Daniel Spector, On the role of Riesz potentials in Poisson's equation and Sobolev embeddings, Indiana Univ. Math. J. 64 (2015), no. 6, 1697-1719. (DOI: 10.1512/iumj.2015.64.5706) 

13. Rahul Garg, Amos Nevo, and Krystal Taylor, The lattice point counting problem on the Heisenberg groups, Ann. Inst. Fourier (Grenoble) 65 (2015), no. 5, 2199-2233. (DOI: 10.5802/aif.2986) 

14. Rahul Garg and Daniel Spector, On the regularity of solutions to Poisson's equation, C. R. Math. Acad. Sci. Paris 353 (2015), no. 9, 819-823. (DOI: 10.1016/j.crma.2015.07.001) 

15. Rahul Garg and Sundaram Thangavelu, Variations on a theorem of Beurling, Adv. Pure Appl. Math. 6 (2015), no. 3, 135-146. (DOI: 10.1515/apam-2014-0048) 

16. Rahul Garg and Sundaram Thangavelu, On the structure of analytic vectors for the Schrödinger representation, Monatsh. Math. 167 (2012), no. 1, 61-80. (DOI: 10.1007/s00605-011-0286-4) 

17. Rahul Garg and Sundaram Thangavelu, On the Hermite expansions of functions from the Hardy class, Studia Math. 198 (2010), no. 2, 177-195. (DOI: 10.4064/sm198-2-5)