Publications

Publications affiliated with BITS Pilani K K Birla Goa Campus:

B. Pradeep and S. Thangavelu, Mixed norm estimates for the Riesz transforms on SU(2), Publ. Mat. 60 (2016), 171-190. DOI: 10.5565/PUBLMAT 60116 06.
B. Pradeep and S. Thangavelu, On the chaotic behavior of the Dunkl heat semigroup on weighted $L^p$ spaces, Isr. J. Math. 217 (2017), 57-92. doi:10.1007/s11856-017-1438-6
B. Pradeep, Luz Roncal and S. Thangavelu, Mixed norm estimates for the Ces`aro means associated with Dunkl–Hermite expansions, Trans. Amer. Math. Soc. 369 (2017), 7021-7047. DOI: https://doi.org/10.1090/tran/6861
B. Pradeep, Luz Roncal and S. Thangavelu, On extension problem, trace Hardy and Hardy's inequalities for some fractional Laplacians, Commun. Pure Appl. Anal., 18 (5) (2019), pp. 2575-2605.
R. Balhara, P. Boggarapu and S. Thangavelu, An extension problem and Hardy type inequalities for the Grushin operator, Geometric Aspects of Harmonic Analysis, Springer INdAM Ser. 45, Springer, Cham (2021), 1–28.
P. Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal and Hatem Mejjaoli, Restriction theorem for the Fourier-Dunkl transform I: cone surface, J. Pseudo-Differ. Oper. Appl. 14, 5 (2023). https://doi.org/10.1007/s11868-022-00499-y
P Jitendra Kumar Senapati and Pradeep Boggarapu, Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator, Accepted in Journal of Analysis (2023). https://doi.org/10.1007/s41478-023-00552-z

Manuscripts that are communicated to Journals:

J. K. Sahoo, P. Boggarapu, R. Behera and Z. Nashed, GD1 inverse and 1GD inverse for Hilbert Space Operators. arXiv:2208.09149.
P. Jitendra. K. Senapati and P. Boggarapu, Strichartz inequality for orthonormal functions associated with Dunkl Laplacian-Schrödinger operator. arXiv:2208.13024
M. Thamban Nair and Pradeep Boggarapu, Interpolation inequalities for modified Sobolev spaces and their implications to inversion of Radon transform.
P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal and Hatem Mejjaoli, Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces.
P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal and Hatem Mejjaoli, Deformed Hankel Wigner transform and its applications to the Toeplitz operators theory.

Publications affiliated with IISc Bangalore

B. Pradeep and S. Thangavelu, Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators, Ann. Math. Blaise Pascall, 22 no. 1 (2015), p. 89-120. doi: 10.5802/ambp.347.

B. Pradeep and Thangavelu, Sundaram; Mixed norm estimates for the Riesz transforms on the Heisenberg group, Monatsh. Math. 178 (2015), no. 3, 361-388. (http://dx.doi.org/10.1007/s00605-015-0790-z).

B. Pradeep and S. Thangavelu, Revisiting Riesz transforms for Hermite and Special Hermite Operators, Preprint (2013).

BITS Pilani