PUBLICATIONS

Total citation-320 (Google Scholar), 179 (MathSciNet) as on February 2024

Published/Accepted

1.  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 orgder ". Journal of Evolution Equations (accepted) 2024. https://arxiv.org/pdf/2401.06565.pdf 

2.  A.Dasgupta, Lalit Mohan and Shyam Swarup Mondal, ''Weighted periodic and discrete Pseudo-Differential Operators." Monatshefte fur Mathematik. (2024). https://doi.org/10.1007/s00605-024-01976-w

3. A. Dasgupta, Lalit Mohan and Shyam Swarup Mondal, ''Multilinear Fourier Integral operators on modulation spaces." Forum Mathematicum, (2024). https://doi.org/10.1515/forum-2023-0158 

4. A. Dasgupta and Santosh Kumar Nayak, "Localization Operator and Weyl Transform on Reduced Heisenberg Group with Multi-dimensional Center.'' Journal of Mathematical Physics, 64, 123506(2023). https://doi.org/10.1063/5.0170293 

5. Anirudha Poria and A. Dasgupta,  “Uncertainty principles for the short-time Fourier transform on the lattice”. Mathematische Nachrichten, (2023). https://doi.org/10.1002/mana.202200151 

6. A. Dasgupta, Vishvesh Kumar and Shyam Swarup Mondal, "Nonlinear fractional damped wave equations on compact Lie groups.'' Asymptotic Analysis, 134 , no. 3-4, 485–511(2023). https://doi.org/10.3233/asy-231842 

7. A. Dasgupta, Santosh Kumar Nayak and M. W. Wong, " Localization Operators on Unit Disk." Journal of Operator Theory, 90:2, 385–400 (2023). http://dx.doi.org/10.7900/jot.2021dec20.2350 

8. M. Chatzakou, A. Dasgupta, M. Ruzhansky, A. Tushir,   ''Discrete Heat Equation with irregular thermal conductivity and tempered distributional data" Proceedings of the Royal Society of Edinburgh Section A, pp 1-24, (2023). https://doi.org/10.1017/prm.2023.84 

9. A. Dasgupta and Anirudha Poria, “Localization Operators On Discrete Modulation Spaces”. Banach Journal of Mathematical Analysis, 17, Article number: 59 (2023).  https://doi.org/10.1007/s43037-023-00286-x 

10. A. Dasgupta and Santosh Kumar Nayak,  "Pseudo-Differential Operators, Wigner Transform and Weyl Transform on the Affine Poincar\'e Group.'' Bulletin des sciences mathématiques,Volume 184,103255  (2023). https://doi.org/10.1016/j.bulsci.2023.103255 

11. A. Dasgupta and Lalit Mohan, “$M$-Ellipticity of Fredholm Pseudo-Differential Operators on $L^p(\mathbb{R}^n)$ and G\r{a}rding's Inequality”. Journal of Geometric Analysis, 33:97 (2023). https://doi.org/10.1007/s12220-023-01192-2

12. A. Dasgupta, M. Ruzhansky and Abhilash Tushir, "Discrete time-dependent wave equations I. Semiclassical analysis'', Journal of Differential Equations, Volume 317, Pages 89-120, (2022) . https://doi.org/10.1016/j.jde.2022.01.048 

13. A. Dasgupta and Santosh Kumar Nayak, "Pseudo-Differential Operators, Wigner Transform and Weyl Transforms on Similitude Group, SIM(2)",  Bulletin des sciences mathématiques, Volume 174,103087,ISSN 0007-4497, (2022). https://doi.org/10.1016/j.bulsci.2021.103087 

14. A. Dasgupta and V. Kumar, “Ellipticity and Fredholmness of Pseudo-differential Operators on l^2(Zn)'', Proceedings of American Mathematical Society, Volume 150, Number 7, 2849-2860, (2022).    https://doi.org/10.1090/proc/15661

15.  A. Dasgupta and M. Ruzhansky, “ Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert spaces and Universality”, Journal of Fourier analysis and Applications,  27:15.  (2021). https://doi.org/10.1007/s00041-021-09817-2

16. A. Dasgupta, Santosh Kumar Nayak and M. W. Wong, " Hilbert-Schmidt and Trace Class Pseudo-Differential Operators and Weyl Transforms on the Affine Group." Journal of Pseudo-differential Operators and Applications, 12, 11. (2021). https://rdcu.be/cfayP 

17. A. Dasgupta and V. Kumar, “Hilbert-Schmidt and Trace Class Pseudo-differential Operators on the Abstract Heisenberg Group'',  Journal of Mathematical Analysis and Applications, 486, no. 2, 123936, 14pp.  (2020).  https://doi.org/10.1016/j.jmaa.2020.123936

18. A. Dasgupta and M. Ruzhansky, “ Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. II. Tensor Representations”, Transactions of the American Mathematical Society,Series B, 5, (2018), 81-101. http://www.ams.org/journals/btran/2018-05-04/S2330-0000-2018-00024-3/   

19. A. Dasgupta and M. Ruzhansky, “Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions”, Transactions of the American Mathematical Society, 368 (12), (2016), 8481- 8498. http://www.ams.org/journals/tran/2016-368-12/S0002-9947-2016-06765-3/ 

20. A. Dasgupta and M. Ruzhansky, “Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups”, Journal d’Analyse Mathematique, 128 (1), (2016), 179-190. http://link.springer.com/content/pdf/10.1007/s11854-016-0005-0 

21.  A. Dasgupta, C. Gao and J. Krieger, “On global regularity for systems of nonlinear wave equations with the null-condition”, Dynamics of Partial Differential Equations, 12 (2), (2015), 115-125. http://intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0012/0002/a002 

22. A. Dasgupta and M. W. Wong, “Weyl Transforms for H-type Groups", Journal of Pseudo-Differential Operators and Applications, 6 (1), (2015), 11-19.    http://link.springer.com/article/10.1007/s11868-014-0106-4 

23. A. Dasgupta, “Liouville’s theorem and Laurent series expansion for solutions of the heat equation." Journal of Pseudo-Differential Operators and Applications, 5 (4),(2014), 539-547. http://link.springer.com/article/10.1007/s11868-014-0103-7

24. A. Dasgupta and M. Ruzhansky, “Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces”, Bulletin des Sciences Mathèmatiques, 138, (2014), 756-782. http://www.sciencedirect.com/science/article/pii/S0007449713001255 

25. A. Dasgupta and M. W. Wong, “Hilbert-Schmidt and Trace Class Pseudo-Differential Operators on the Heisenberg Group”, Journal of Pseudo-Differential Operators and Applications, 4 (3), (2013), 345-359. http://link.springer.com/article/10.1007/s11868-013-0079-8 

26. A. Dasgupta and S. Thangavelu, “Heat kernel transform on nilmanifolds associated to H-type groups”, Tohoku Mathematical Journal, 64 (3), (2012), 439-451. http://projecteuclid.org/euclid.tmj/1347369372 

27. A. Dasgupta, S. Molahajloo and M. W. Wong, “The Spectrum of the Sub-Laplacian on the Heisenberg Group”, Tohoku Mathematical Journal, 63 (2), (2011), 269-276. http://projecteuclid.org/euclid.tmj/1309952089 

28. A. Dasgupta and M. W. Wong, “The semigroup and the inverse of the Laplacian on the Heisenberg group”, Cubo: A Mathematical Journal, 12 (3), (2010), 83-97. http://www.ams.org/mathscinet-getitem?mr=2779375 

29. A. Dasgupta, S. Molahajloo and M. W. Wong, “The Inverse, the Heat Semigroup, Liouville’s Theorems and the Spectrum for the Grushin Operator”, Journal of Pseudo-Differential Operators and Applications, 1 (4), (2010), 377-388. http://www.ams.org/mathscinet-getitem?mr=2747901 

30. A. Dasgupta and M.W.Wong, “Spectral Theory of SG Pseudo-Differential Operators on Lp(Rn)”, Studia Mathematica, 187 (2), (2008), 185-197. http://journals.impan.pl/cgi-bin/doi?sm187-2-5 

31. A. Dasgupta and M. W. Wong, “Essential self-adjointness and global hypoellipticity of the twisted Laplacian”, Rend. Sem. Mat. Univ. Pol. Torino, 66, (2008), 43-53. http://www.ams.org/mathscinet-getitem?mr=2453703

Conference Proceedings

32. A. Dasgupta and M. W. Wong, “ Pseudo-differential operators on Affine Groups”, Pseudo-Differential Operators: Groups, Geometry and Applications. Trends in Mathematics. Birkhäuser, Cham, (2017), 1-14. https://link.springer.com/chapter/10.1007%2F978-3-319-47512-7_1 

33. A. Dasgupta and M. W. Wong, “Fourier-Wigner transforms and Liouville’s theorems for the sub-Laplacian on the Heisenberg group”, Banach Center Publications, Institute of Mathematics, Polish Academy of Sciences, Warszawa, 88, (2010), 67-75. http://www.ams.org/mathscinet-getitem?mr=2647682

34. A. Dasgupta and M.W.Wong, “Spectral Invariance of Pseudo-Differential Operators on Lp(Rn)”, Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations, Birkhäuser, 205, (2009), 51-57. http://www.ams.org/mathscinet-getitem?mr=2664573 

35. A. Dasgupta, “Ellipticity of Fredholm Pseudo-Differential Operators on Lp(Rn)”, New Developments in Pseudo-Differential Operators, Birkhäuser, (2008), 107-119. http://www.ams.org/mathscinet-getitem?mr=2509095 

36. A. Dasgupta and M. W. Wong, “Weyl transforms and the heat equation for the sub-Laplacian on the Heisenberg group”, New Developments in Pseudo-Differential Operators, Birkhäuser, (2008), 33-43. http://www.springerlink.com/content/r7222841hn339257/ 

37. A. Dasgupta and M. W. Wong, “Weyl transforms and the inverse of the sub-Laplacian on the Heisenberg group”, Pseudo-Differential Operators: Partial Differential Equations and Time Frequency Analysis, Fields Institute Communications, American Mathematical Society, (2007), 27- 36. http://www.ams.org/mathscinet-getitem?mr=2385321 

Submitted Articles

1. 1. 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 ". submitted, 2024. https://arxiv.org/abs/2404.08766 

   2. A. Dasgupta, S. S. Mondal, M. Ruzhansky, and A.Tushir, '' General Caputo-type fractional discrete diffusion equation for Schrödinger operator ". submitted, 2024. https://arxiv.org/abs/2402.13690 

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

   4. A.Dasgupta, S.S.Mondal, M.Ruzhansky, A.Tushir, ''Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential" submitted, 2023. http://arxiv.org/abs/2306.02409 

   5. A.Dasgupta, V.Kumar and S.S.Mondal, "Nonlinear fractional wave equations on compact Lie groups.'' submitted, 2022. https://arxiv.org/pdf/2207.04422.pdf 

   6. A.Dasgupta, M. Ruzhansky and Abhilash Tushir, "Discrete time-dependent wave equations II. Semiclassical Fractional Klein-Gordon Equation.'' submitted, 2022. https://arxiv.org/abs/2205.05360