Publication

  Journal Articles

1.  G. Feng, S. S. Mondal, M. Song, and H.  Wu,  Orthonormal Strichartz estimates and their applications on abstract measure spaces, Math Z. (2025) (Accepted) https://arxiv.org/abs/2409.14044 

2. A. Dasgupta, L. Mohan, and S. S. Mondal,   Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential, Discrete Contin. Dyn. Syst. (2025) https://arxiv.org/abs/2409.03027 

3. V. Kumar, S. S. Mondal, M. Ruzhansky, and B. Torebek, Higher order hypoelliptic damped wave equations on   graded Lie  groups with data from negative order Sobolev spaces:  the critical case,   J. Evol. Equ. (2025) https://arxiv.org/abs/2408.05598 

4. S.  Ghosh, S. S. Mondal, and J.  Swain, On local dispersive and Strichartz estimates for the Grushin operator,  New York J. Math. (2024) https://arxiv.org/abs/2306.10298 

5. A. Dasgupta, S. S. Mondal, M. Ruzhansky, and A. Tushir, General Caputo-type fractional discrete diffusion equation for Schr\"{o}dinger operator,  Fract. Calc. Appl. Anal (2024). https://arxiv.org/abs/2402.13690  

6. A. Dasgupta, V. Kumar, S. S. Mondal,  and M. Ruzhansky, Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order, J. Evol. Equ. (2024).  https://doi.org/10.1007/s00028-024-00976-5    

7. A. Dasgupta, L. Mohan, and S. S. Mondal, Weighted periodic and discrete pseudo-differential operators, Monatsh. Math. (2024). https://doi.org/10.1007/s00605-024-01976-w 

8. P Jitendra K. Senapati, Pradeep B., S. S. Mondal, and H. Mejjaoli, Restriction theorems for Fourier-Dunkl transform II: Paraboloid, sphere and hyperboloid surfaces,  J. Geom. Anal. (2023).  https://doi.org/10.1007/s12220-023-01530-4 

9.  A. Dasgupta, L. Mohan, and S. S. Mondal, Multilinear Fourier integral operators on modulation spaces, Forum Math. (2023)  https://doi.org/10.1515/forum-2023-0158 

10.  V. Kumar and S. S. Mondal, Symbolic calculus and $M$-elliptic pseudo-differential operators on $\ell^2( \mathbb{Z}^n)$, Analysis and Applications (Anal. Appl.) (2023).  https://doi.org/10.1142/S0219530523500215

11. S. S. Mondal and  M. Song, Orthonormal Strichartz inequalities for the $(k,a)$-generalized Laguerre operator and Dunkl operator,  Israel J. Math. (2023).  https://arxiv.org/abs/2208.12015 

12. S. Ghosh, S. S. Mondal, and J. Swain,  Strichartz Inequality for orthonormal functions associated with special Hermite operator, Forum Math.  https://doi.org/10.1515/forum-2023-0115 

13. S. S. Mondal and A. Poria,  Uncertainty principles for the windowed Opdam Cherednik transform, Math. Methods Appl. Sci. (2023). https://doi.org/10.1002/mma.9596 

14.  Pradeep B., H. Mejjaoli, S. S. Mondal, and  P Jitendra K. Senapati,  Time-frequency analysis of $(k,a)$-generalized wavelet transform and applications,  J. Math. Phys. (2023). https://doi.org/10.1063/5.0152806 

15. A. K.   Bhardwaj, V. Kumar, and S. S. Mondal, Estimates for the nonlinear viscoelastic damped wave equation on the compact Lie group,  Proc. Roy. Soc. Edinburgh Sect. A  154(3), 810-829 (2024).  https://doi.org/10.1017/prm.2023.38 

16.  A. Dasgupta, V. Kumar, and S. S. Mondal,  Nonlinear fractional damped wave equation on compact Lie groups, Asymptot. Anal. (2023).  https://doi.org/10.3233/ASY-231842 

17.  A. Maity and S. S. Mondal,  A note on Singular integral,  Analysis (2023). https://doi.org/10.1515/anly-2022-1107  

18.  P Jitendra K. Senapati,  Pradeep B., S. S. Mondal, and H. Mejjaoli, Restriction theorems for Fourier-Dunkl transform I: Cone surface,  J. Pseudo-Differ. Oper. Appl. (2023).  https://doi.org/10.1007/s11868-022-00499-y 

19.  V. Kumar and S. S. Mondal, Trace class and Hilbert-Schmidt pseudo differential operators on the Heisenberg motion group, Appl. Anal. (2022).   https://doi.org/10.1080/00036811.2022.2078717 

20.  S. S. Mondal and A. Poria,  Weighted norm inequalities for the Opdam Cherednik transform, Internat. J. Math. (2022). https://doi.org/10.1142/S0129167X22500665 

21.  S. S. Mondal and J. Swain,  Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schr\"odinger equation,  Adv. Oper. Theory  (2022).  https://doi.org/10.1007/s43036-022-00208-y 

22.  S. S. Mondal and A. Poria, Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces,  Math. Methods Appl. Sci. (2022).  https://doi.org/10.1002/mma.8376 

23.  S. S. Mondal and A. Poria, Hausdorff operators associated with the Opdam Cherednik transform in Lebesgue spaces, J. Pseudo-Differ. Oper. Appl. (2022).  https://doi.org/10.1007/s11868-022-00462-x 

24.  S. S. Mondal, Boundedness and nuclearity of pseudo-differential operators on homogeneous trees, Anal. Math. Phys. (2022).  https://doi.org/10.1007/s13324-022-00691-9 

25.  V. Kumar and S. S. Mondal,  Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups,  Monatsh. Math. (2021).  https://doi.org/10.1007/s00605-021-01663-0 

26.  S. S. Mondal,  Characterizations of self-adjointness, normality of pseudo differential operators on homogeneous space of compact group,  Complex Var. Elliptic Equ. (2021).  https://doi.org/10.1080/17476933.2021.1913131 

27.  V. Kumar and S. S. Mondal, Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups,  Bull. Sci. Math. (2021).  https://doi.org/10.1016/j.bulsci.2021.103015 

28.   V. Kumar and S. S. Mondal, Self-adjointness and compactness of operators related to finite measure spaces, Complex Anal. Oper. Theory (2021).  https://doi.org/10.1007/s11785-020-01067-2 

29.   V. Kumar and S. S. Mondal,   Nuclearity of operators related to finite measure spaces,  J. Pseudo-Differ. Oper. Appl. (2020).  https://doi.org/10.1007/s11868-020-00353-z 

Book Chapters

30.  S. S. Mondal and A. Tushir, Very Weak Solution of the Discrete Wave Equation for Harmonic Oscillator,  In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022, Trends in Mathematics, vol 2. Birkhäuser, Cham. (2024)    https://doi.org/10.1007/978-3-031-42539-4_27 

Preprints

31. V. Kumar and  S. S. Mondal, I. Sitiraju, M. Song, Strichartz estimates for higher order Schrödinger equations with Partial regular initial data,  https://doi.org/10.48550/arXiv.2508.15670 

32. G. Feng, S. S. Mondal, M. Song, and H.  Wu, Orthonormal Strichartz estimates for Dunkl-Schrödinger equation of initial data with Soboloev regularity, (2025) https://arxiv.org/abs/2506.05493

33. A. Dasgupta, S. S. Mondal and A. Tushir,  Fractional semilinear damped wave equation on the Heisenberg group, (2025). https://arxiv.org/abs/2501.10816 .

34. V. Kumar and  S. S. Mondal,  Szego Limit theorem for Anharmonic Oscillators (Submitted). 

35. C. Luo, S. S. Mondal, and  M. Song, Decay estimates for a class of Dunkl wave equations, https://arxiv.org/abs/2407.06949 (2024).

36. A. Dasgupta, V. Kumar, S. S. Mondal,  and M. Ruzhansky,  Higher order hypoelliptic damped wave equations on graded Lie groups with  data from negative order Sobolev spaces,  https://arxiv.org/abs/2404.08766 (2024). 

37. A. Dasgupta, V. Kumar, L. Mohan, and S. S. Mondal, Non-harmonic $M$-elliptic pseudo-differential operators on manifolds with  boundary, (2023). https://arxiv.org/abs/2307.10825 

38. A. Dasgupta, S. S. Mondal, M. Ruzhansky, and A. Tushir,  Discrete time-dependent wave equation for the Schr\"{o}dinger operator with unbounded potential, (2023). http://arxiv.org/abs/2306.02409

 Projects under preparation

    ✎ D. Bhimani, S. S. Mondal, S. R. Choudhary, Related to orthonormal Strichartz estimates.

✎  V. Kumar, S. S. Mondal, M. Ikeda,  Related to the well-posedness of wave equation. 

✎  S. S. Mondal, I. Sitiraju,  Related to Strichartz estimates.

✎  A. Dasgupta, S. S. Mondal, M. Ruzhansky, and A. Tushir, Related to system of wave equations on the Heisenberg group.  

Unpublish

1.  A. Dasgupta, V. Kumar, and S. S. Mondal, Nonlinear fractional wave equation on compact Lie groups, (2022). https://arxiv.org/abs/2207.04422