Research publications
de Branges-Rovnyak spaces which are complete Nevanlinna-Pick spaces (with H. Ahmed and S. Panja). arXiv:2403.19377.
Isometric dilation and Sarason's commutant lifting theorem in several variables (with S. Panja). Canadian Journal of Mathematics (to appear). arXiv:2301.09153.
Determining sets for holomorphic functions on the symmetrized bidisk (with P. Kumar and H. Sau). Canad. Math. Bull. 66 (2023), no. 3, 984-996.
Pure inner functions, distinguished varieties and algebraic commutative contractive pairs (with H. Sau). Proc. Amer. Math. Soc. 152 (2024), no. 3, 1067–1081.
W-hypercontractions and their model (with M. Bhattacharjee, R. Debnath and S. Panja). Complex Anal. Oper. Theory 17 (2023), no. 2, Paper No. 22, 36 pp.
Distinguished varieties and the Nevanlinna-Pick problem on the symmetrized bidisk (with P. Kumar and H. Sau). arXiv:2104.12392.
Toeplitz operators and Hilbert modules on the symmetrized polydisc (with T. Bhattacharyya and H. Sau). Internat. J. Math. 33 (2022), no. 12, Paper No. 2250076, 16 pp.
Beurling quotient modules on the polydisc (with M. Bhattacharjee, R. Debnath and J. Sarkar). J. Funct. Anal. 282 (2022), no. 1, Paper No. 109258, 18 pp.
Isometric dilations of commuting contractions and Brehmer positivity (with S. Barik). Complex Anal. Oper. Theory 16 (2022), no. 5, Paper No. 69, 25 pp.
Commutant lifting in several varibles (with S. Barik and M. Bhattacharjee). Journal of Operator Theory (to appear).
Isometric dilations and von Neumann inequality for finite rank commuting contractions (with S. Barik and J. Sarkar). Bull. Sci. Math. 165 (2020), 102915, 25 pp.
Factors of hypercontractions (with M. Bhattacherjee). J. Operator Theory85 (2021), no. 2, 443–462.
Toeplitz operators and pseudo-extensions (with T. Bhattacharyya and H. Sau). arXiv:1906.01313.
Hypercontractions and factorizations of multipliers in one and several variables (with M. Bhattacharjee and J. Sarkar). J. Operator Theory 88 (2022), no. 2, 479–510.
Algebraic properties of Toeplitz operators on the symmetrized polydisk (with H. Sau). Complex Anal. Oper. Theory 15 (2021), no. 3, Paper No. 60, 28 pp.
On certain commuting isometries, joint invariant subspaces and C*-algebras (with R. Debnath and J. Sarkar). Proceedings of IWOTA 2018 (Ron Douglas Memorial Volume).
Toeplitz operators on the symmetrized bidisc (with T. Bhattacharyya and H. Sau). Int. Math. Res. Not. IMRN 2021, no. 11, 8492–8520.
Isometric dilations and von Neumann inequality for a class of tuples in the polydisc (with S. Barik, K. Haria and J. Sarkar). Trans. Amer. Math. Soc. 372 (2019), no. 2,1429–1450.
On Quotient modules of H2(Dn): Essential Normality and Boundary Representations (with S. Gorai and J. Sarkar). Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 3,1339–1359.
Rank of a co-doubly commuting submodule is 2 (with A. Chattopadhyay and J. Sarkar). Proc. Amer. Math. Soc. 146 (2018), no. 3, 1181–1187.
Factorizations of contractions (with J. Sarkar and S. Sarkar). Adv. Math.322 (2017), 186–200.
Ando dilations, von Neumann inequality, and distinguished varieties (with J. Sarkar). J. Funct. Anal. 272 (2017), no. 5, 2114–2131.
Quantum stochastic analysis on operator space (with J.M. Lindsay).
Inner multipliers and Rudin type invariant subspaces (with A. Chattopadhyay and J. Sarkar). Acta Sci. Math. (Szeged) 82 (2016), no. 3-4, 519–528.
Quantum random walk approximation in Banach algebra (with J. M. Lindsay). J. Math. Anal. Appl. 430 (2015), no. 1, 465–482.
Rudin's Submodules of H2(D2) (with J. Sarkar). C. R. Math. Acad. Sci. Paris 353 (2015), no. 1, 51–55.
Star-Generating Vectors of Rudin's Quotient Modules (with A. Chattopadhyay and J. Sarkar). J. Funct. Anal. 267 (2014), no. 11, 4341–4360.
Tensor product of quotient Hilbert modules (with A. Chattopadhyay and J. Sarkar). J. Math. Anal. Appl. 424 (2015), no. 1, 727–747.
Wandering subspaces of the Bergman space and the Dirichlet space over polydisc (with A. Chattopadhyay, J. Sarkar and S. Sarkar). Integral Equations Operator Theory 79 (2014), no. 4, 567–577.
Maximal contractive tuples (with J. Sarkar and S. Sarkar). Complex Anal. Oper. Theory 8 (2014), no. 6, 1325–1339.
Sesquilinear quantum stochastic analysis in Banach space (with J.M. Lindsay and O. Tripak). J. Math. Anal. Appl. 409 (2014), no. 2, 1032–1051.
Elementary evolution in Banach algebra (with J.M. Lindsay). J. Ramanujan Math. Soc. 28 (2013), no. 4, 483–497.
The defect sequence for contractive tuples (with T. Bhattacharyya and S. Sarkar). Linear Algebra Appl. 438 (2013), no. 1, 315–330.