Swagato K. Ray

Professor

Stat Math Unit

Indian Statistical Institute, Kolkata

Kolkata 700108

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Office:	Room No. 5.14, A. N. Kolmogorov Bhavan
Phone:	91-03325753411 (O)
Fax:	91-332577 3071
Email:	swagato@isical.ac.in swagato.ray@gmail.com

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Research Interest: Harmonic Analysis on Lie groups

Research Publications:

1. Unique Continuation inequalities for the Schrodinger equation on Riemannian symmetric spaces of noncompact type.
   (With Mithun Bhowmik)
   
   
2. Fatou theorem and its converse for positive Eigenfunctions of the Laplace-Beltrami operator on Harmonic NA groups.
   J. Geom. Anal. 33 (2023), no. 7, 225
   (With Jayanta Sarkar)
   
   
3. Ramanujan's master theorem for radial sections of line bundles over the Poincare upper half plane.
   Math. Nachr. (2023)
   (With Sanjoy Pusti)
   
   
4. A Theorem of Chernoff on Quasi-analytic Functions For Riemannian Symmetric Spaces.
   Int. Math. Res. Not. IMRN (2022)
   (With Mithun Bhowmik and Sanjoy Pusti)
   
   
5. Large time behaviour of heat propagator
   Bull. Sci. Math. 167 (2021), 102955
   (With Muna Naik and Rudra P. Sarkar)
   
   
6. Theorems of Ingham and Chernoff on Riemannian symmetric spaces of noncompact type
   J. Funct. Anal. 279 (2020), No. 11, 108760
   (With Mithun Bhowmik and Sanjoy Pusti)
   
   
7. Mean value property in limit for eigenfunctions of the Laplace-Beltrami operator
   Trans. Amer. Math. Soc. 373 (2020), 4735-4756
   (With Muna Naik and Rudra P. Sarkar)
   
   
8. A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type
   Int. Math. Res. Not. IMRN 2021, no. 4, 2403–2436
   (With Mithun Bhowmik and Sanjoy Pusti)
   
   
9. Around Uncertainty Principles of Ingham-type on R^n, T^n and Two Step Nilpotent Lie Groups
   Bull. Sci. Math.155 (2019), 33-73
   (With Mithun Bhowmik and Suparna Sen )
   
   
10. Remark on a theorem of A. Atzmon regarding uniform approximation
    J. Ramanujan Math. Soc. 31 (2016), no. 4, 431-438.
    (With J. Sengupta )
    
    
11. End point estimates for Radon transform of radial functions on non-Euclidean spaces
    Monatsh. Math. 174 (2014), no. 1, 41-75
    (With Ashisha Kumar )
    
    
12. Completeness of the Grid Translates of Functions
    J. Fourier Anal. Appl. 20 (2014), no. 1, 186-198.
    (With Rudra P. Sarkar and Yitzhak Weit )
    
    
13. Characterization of almost $ L^p$-eigenfunctions of the Laplace-Beltrami operator
    Trans. Amer. Math. Soc. 366 (2014), 3191-3225
    (With Pratyoosh Kumar and Rudra P. Sarkar )
    
    
14. A Theorem of Roe and Strichartz for Riemannian Symmetric Spaces of Noncompact Type
    Int. Math. Res. Not. IMRN 2014, no. 5, 1273-1288
    (With Rudra P. Sarkar )
    
    
15. Note on a Result of Kerman and Weit II
    J. Fourier Anal. Appl. 19 (2013), no. 2, 251-255
    (With Rudra P. Sarkar )
    
    
16. Note on a Result of Kerman and Weit
    J. Fourier Anal. Appl. 18 (2012), no. 3, 583-591
    (With Rudra P. Sarkar )
    
    
17. Weighted estimates for the k-plane transform of radial functions on euclidean spaces
    Israel J. Math. 188 (2012), 25-56
    (With Ashisha Kumar )
    
    
18. Wiener-Tauberian type Theorems for radial sections of homogenous vector bundles on certain noncompact Riemannian symmetric spaces
    Math. Z, 269 (2011), 555-586 .
    (With Sanjoy Pusti and Rudra P. Sarkar )
    
    
19. Mixed norm estimate for Radon transform on weighted L^p spaces.
    Proc. Indian Acad. Sci. (Math. Sci.), 120(2010), no. 4, 441-456 .
    (With Ashisha Kumar)
    
    
20. The role of restriction theorems in harmonic analysis on harmonic NA groups.
    J. Funct. Anal. 258 (2010), no. 7, 2453-2482.
    (With Pratyoosh Kumar and Rudra P. Sarkar )
    
    
21. On a Theorem of Beurling and Hormander on Damek Ricci Spaces
    Advances in pure and applied mathematics, 1(2010), no. 1, 65-79.
    (With Rudra P. Sarkar )
    
    
22. Fourier and Radon transform on harmonic NA groups.
    Trans. Amer. Math. Soc. 361 (2009), no. 8, 4269-4297.
    (With Rudra P. Sarkar )
    
    
23. Approximation by K-finite functions in L^p spaces.
    Israel J. Math. 161 (2007), 187-207.
    (With E. K. Narayanan and Rama Rawat)
    
    
24. Cowling-Price theorem and characterization of heat kernel on symmetric spaces.
    Proc. Indian Acad. Sci. Math. Sci. 114 (2004), no. 2, 159-180.
    (With Rudra P. Sarkar )
    
    
25. The Helgason-Fourier transform for symmetric spaces II.
    Journal of Lie Theory 14 (2004), no. 1, 227-242.
    (With P. Mohanty, Rudra P. Sarkar and A. Sitaram)
    
    
26. The heat kernel and Hardy's theorem on symmetric spaces of noncompact type
    Proc. Indian Acad. Sci. Math. Sci. 112 (2002), no. 2, 321-330.
    (With E. K. Narayanan)
    
    
27. L^p version of Hardy's theorem on semisimple Lie groups.
    Proc. Amer. Math. Soc. 130 (2002), no. 6, 1859-1866.
    (With E. K. Narayanan)
    
    
28. Uncertainty principles on two step nilpotent Lie groups.
    Proc. Indian Acad. Sci. (Math. Sci.) 111 (2001), no. 3, 293-318.
    
    
    
29. Uncertainty principles like Hardy's theorem on some Lie groups.
    J. Austral. Math. Soc. (Ser. A) 65 (1998), no. 3, 289-302.
    ( With S. C. Bagchi)
    
    

    Preprint:

    · Chaotic behaviour of the Fourier multipliers on Riemannian symmetric spaces of noncompact type

    (With Rudra P. Sarkar )

    · L^p-asymptotic behaviour of solutions of the fractional heat equation on Riemannian symmetric spaces of noncompact type.

    (With With Muna Naik and Jayanta Sarkar )