Publications

1.  Lipschitz Estimates and an application to trace formulae- (with Tirthankar Bhattacharyya, Saikat Giri, and Chandan Pradhan), to appear in Banach Journal of Mathematical Analysis, (2025), https://doi.org/10.1007/s43037-025-00454-1. 

2. Higher-order trace formulas for contractive and dissipative operators- (with Chandan Pradhan, Anna Skripka), to appear in Canadian Journal of Mathematics, (2025), https://doi.org/10.4153/S0008414X25101296. 

3.  Schmidt subspaces of block Hankel operators - (with Soma Das, Chandan Pradhan), Journal of Operator Theory, 93 (2025), no. 1, 101–121.

4. Higher order $S^{p}$-differentiability: The unitary case- (with Clément Coine, Saikat Giri, Chandan Pradhan),  Journal of Spectral Theory, 15 (2025), no. 1, 195–222.

5. Kernels of Perturbed Hankel Operators- (with Supratim Jana), Journal of Mathematical Analysis and Applications, 544(1) (2024): 129080.

6. Hilbert Transform in the Cartwright-de Branges space-(with Arun K. Bhardwaj,  Javad Mashreghi, Rajesh K. Srivastava), Operator Theory: Advances and Applications. Springer Nature, Pages 99-114, 2024.

7. Estimates and higher-order spectral shift measures in several variables-(with Saikat Giri, Chandan Pradhan), Linear Algebra and its Applications, 698 (2024), 102–134.

8. Uniqueness of the group Fourier transform on certain Lie groups-(with Deb Kumar Giri, Rajesh K. Srivastava), Journal of the Australian Mathematical Society, 116 (2024), no. 3, 289307.

9. Commutants and complex symmetry of finite Blaschke product multiplication operator in L^2(T) - (with Soma Das), Proceedings of the Edinburgh Mathematical Society. Series II,  67 (2024), no. 1, 261–286.

10. Second-order trace formulas - (with Soma Das, Chandan Pradhan), Mathematische Nachrichten, 297 (2024), no. 7, 2581–2608.

11. On Isometric Embeddability of $S_q^m$ into $S_p^n$ as  Quasi-Banach spaces- (with Guixiang Hong, Chandan Pradhan, and Samya K. Ray ), Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 154 (2024), no. 4, 1180–1203.

12. Approximation of the spectral action functional in the case of τ -compact resolvents- (with Chandan Pradhan, and Anna Skripka ), Integral Equations Operator Theory, 95 (2023), no. 3, Paper No. 20, 15 pp.

13. Higher-order spectral shift for pairs of contractions via multiplicative path- (with Chandan Pradhan), New York Journal of Mathematics, 29 (2023), 25pp.

14. Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces -(with  Soma Das, Chandan Pradhan, and Srijan Sarkar), Linear Multilinear Algebra, 71 (2023), no. 12, 2026–2048.

15. Isometric Embeddability of S_q^m into S_p^n- (with Guixiang Hong, Avijit Pal, Chandan Pradhan, and Samya Kumar Ray ), Journal of Functional Analysis, 282 (2022), 109281.

16. The Koplienko-Neidhardt trace formula for unitaries - A new proof -(with Soma Das, Chandan Pradhan),  Journal of Mathematical Analysis and Applications, 505 (2022), no.1, 21pp.

17. Study of nearly invariant subspaces with finite defect in Hilbert spaces - (with Soma Das),  Proc. Indian Acad. Sci. Math. Sci. 132 (2022), no. 1, Paper No. 10, 26 pp.

18. Trace formula for contractions and it's representation in D - (with Kalyan B. Sinha), Journal of Operator Theory, 88 (2022), no. 2, 275–288.

19.  Multiplicities, invariant subspaces and an additive formula- ( with Jaydeb Sarkar, and Srijan Sarkar), Proceedings of the Edinburgh Mathematical Society. Series II, 64 (2021), no. 2, 279--297.

20. Characterization of symmetric points in {$l^n_p$}-spaces - (with Debmalya Sain, Tanusri Senapati ), Linear and Multilinear Algebra, 69 (2021), no. 16, 2998--3009.

21. Kernels of Perturbed Toeplitz Operators in vector-valued Hardy spaces -(with Soma Das, Chandan Pradhan),  Advances in Operator Theory, 6 (2021), no. 49

22.  Almost invariant subspaces of the shift operator on vector-valued Hardy spaces-(with Soma Das, Chandan Pradhan),  Integral Equations Operator Theory, 92 (2020), no. 6, Paper No. 52, 15 pp. 

23. A study of non-positive operators between real normed linear spaces - (with Debmalya Sain, Tanusri Senapati), Acta Sci. Math. (Szeged), 86 (2020), no. 3-4, 449–466.

24. Heisenberg uniqueness pairs on the Euclidean spaces and the motion group - (with Somnath Ghosh, Deb Kumar Giri, Rajesh Srivastava),  C. R. Math. Acad. Sci. Paris, 358 (2020), no. 3, 365–377. 

25. Trace formulas for relative Schatten class perturbations - (with Anna Skripka),  Journal of Functional Analysis, 274 (2018), no. 12, 3377–3410.

26. On the Carey-Helton-Howe-Pincus trace formula - (with Kalyan B. Sinha), Journal of Functional Analysis, 274 (2018), no. 8, 2265–2290.

27. Rank of a co-doubly commuting submodule is 2 - (with Bata K. Das, and Jaydeb Sarkar), Proceedings of the American Mathematical Society, 146 (2018), no. 3, 1181–1187.

28. A New Proof of the Helton–Howe–Carey–Pincus Trace Formula - (with Kalyan B. Sinha), Geometric methods in physics, Trends Math., Birkhäuser/Springer, [Cham], 57–68, 2016.

29. Inner multipliers and Rudin type invariant subspaces - (with Bata K. Das, and Jaydeb Sarkar), Acta Sci. Math. (Szeged), 82 (2016), no. 3-4, 519–528. 

30. Trace formulae in operator theory, Operator algebras and mathematical physics - (with Kalyan B. Sinha), Oper. Theory Adv. Appl., 247, Birkhäuser/Springer, Cham, 1–36,  2015.

31. Tensor product of quotient Hilbert modules - (with Bata K. Das, and Jaydeb Sarkar), Journal of Mathematical Analysis and Applications, Vol. 424, Issue 1, 727-747.

32. On submajorization and eigenvalue inequalities - (with B. V. Rajarama Bhat, and  G. Sankara Raju  Kosuru), Linear and Multilinear Algebra, 63 (2015), no. 11, 2245–2253.

33. Star-generating vectors of  Rudin's quotient modules - (with Bata K. Das, and Jaydeb Sarkar), Journal of Functional Analysis, 267 (2014), 4341-4360.

34. Wandering subspaces of the Bergman space and the Dirichlet space over polydisc - (with Bata K. Das, Jaydeb Sarkar, and Srijan Sarkar), Integral Equations Operator Theory, Volume 79 (2014), Issue 4, 567-577. 

35. Third order trace formula - (with Kalyan B. Sinha), Proc. Indian Acad. Sci. (Math. Sci.), Volume 123 (2013), Issue 4, 547-575.

36. Koplienko trace formula - (with Kalyan B. Sinha), Integral Equations Operator Theory, Volume 73 (2012), Issue 4, 573-587.  

Preprints

1. Trace formulas in higher dimensions- (with Saikat Giri, Chandan Pradhan, and Alexandr Usachev ) available in arXiv, 36pp, (2023).

2. Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations- (with Teun D.H. van Nuland, Chandan Pradhan) available in arXiv,  42pp, (2024).

3. Trace formulas for $\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas -  (with Clément Coine, Saikat Giri, and Chandan Pradhan) available in arXiv, 44pp, (2024).

4.  Singular traces and perturbation formulae for tuples of commuting unitaries -  (with Saikat Giri) submitted for publication, 19pp, (2024).

5.  On modules of the Hardy space of Hartogs triangle  -  (with Saikat Giri and Shubham Jain) available in arXiv, 30pp, (2025). 

6.  Dual Truncated Hankel Operators: Characterization and Properties-  (with Supratim Jana) submitted for publication, 23pp, (2025).

7.  Near Invariance of the Dual Compressed Shift -  (with Supratim Jana) submitted for publication, 11pp, (2025).