Preprints and publications:



Commuting isometries and joint invariant subspaces (with B. K. Das and R. Debnath).

Characterization of Invariant subspaces in the polydisc (with A. Maji, M. Aneesh and Sankar T. R.).

Isometric dilations and von Neumann inequality for a class of tuples in the polydisc (with S. Barik, B. K. Das and K. Haria).

Pairs of commuting isometries - I (with A. Maji and Sankar T. R.).

Similarity of Quotient Hilbert modules in the Cowen-Douglas Class (with K. Ji).

Rank of a co-doubly commuting submodule is 2 (with A. Chattopadhyay and B. K. Das), To appear in Proceedings of American Math Society.

Toeplitz and Asymptotic Toeplitz operators on H2(Dn) (with A. Maji and S. Sarkar).

Factorizations of Contractions (with B. K. Das and S. Sarkar), Advances in Mathematics, 322 (2017), 186--200.

Covariant representations of subproduct systems: Invariant subspaces and curvature (with H. Trivedi and H. Veerabathiran).

Factorizations of Kernels and Reproducing Kernel Hilbert Spaces (with R. Kumari, S. Sarkar and D. Timotin). Integral Equations Operator Theory, 87 (2017), 225--244.

Contractions with Polynomial Characteristic Functions II. Analytic Approach (with C. Foias and C. Pearcy), To appear in Journal of Operator Theory.

Factorizations of Characteristic Functions (with K. J. Haria and A. Maji). Journal of Operator Theory, 77, (2017), 377--390.

Ando dilations, von Neumann inequality, and distinguished varieties (with B. K. Das). Journal of Functional Analysis, 272 (2017), no. 5, 2114--2131

Dilations, Wandering Subspaces, and Inner Functions (with M. Bhattacharjee, J. Eschmeier and D. Keshari), Linear Algebra and its Applications, 523 (2017), 263--280.

Characterizations of Symmetrized Polydisc (with S. Gorai). Indian Journal of Pure and Applied Mathematics, 47 (2016) 391--397.

Inner multipliers and Rudin type invariant subspaces (with A. Chattopadhyay and B. K. Das). Acta Sci. Math. (Szeged) 82 (2016), 519--528.

Operator Positivity and Analytic Models of Commuting Tuples of Operators (with M. Bhattacharjee). Studia Mathematica, 232 (2016), 155--171.

On Quotient modules of H2(Dn): Essential Normality and Boundary Representations (with B. K. Das and S. Gorai).

An Introduction to Hilbert Module Approach to Multivariable Operator Theory (Survey article) Handbook of Operator Theory, Springer, (2015) 969-1033 (Edited by D. Alpay).

Applications of Hilbert Module Approach to Multivariable Operator Theory (Survey article) Handbook of Operator Theory, Springer (2015) 1035-1091 (Edited by D. Alpay).

Rudin's Submodules of H2(D2) (with B. K. Das) C. R. Acad. Sci. Paris, 353 (2015), 51-55.

Star-Generating Vectors of Rudin's Quotient Modules (with A. Chattopadhyay and B. K. Das) Journal of Functional Analysis, 267 (2014), 4341-4360.

Tensor product of quotient Hilbert modules (with A. Chattopadhyay and B. K. Das) Journal of Mathematical Analysis and Applications, 424 (2015), 727-747.

An Invariant Subspace Theorem and Invariant Subspaces of Analytic Reproducing Kernel Hilbert Spaces - II. Complex Analysis and Operator Theory, 10 (2016), 769-782.

Analytic Model of Doubly Commuting Contractions (with T. Bhattacharyya and E. K. Narayanan). Operators and Matrices, Volume 11, Number 1 (2017), 101--113.

An Invariant Subspace Theorem and Invariant Subspaces of Analytic Reproducing Kernel Hilbert Spaces - I. Journal of Operator Theory, 73 (2015), 433-441.

Wandering subspaces of the Bergman space and the Dirichlet space over polydisc (with A. Chattopadhyay, B. K. Das and S. Sarkar) Integral Equations Operator Theory 79 (2014), 567-577.

Wold decomposition for doubly commuting isometries. Linear Algebra and its Applications, 445 (2014), 289-301.

Maximal contractive tuples (with B. K. Das and S. Sarkar) Complex Analysis and Operator Theory 8 (2014), 1325-1339.

Submodules of the Hardy module over polydisc. Israel Journal of Mathematics, 205 (2015), 317-336.

Jordan Blocks of H2(Dn). Journal of Operator theory 72 (2014) 371-385.

Doubly commuting submodules of the Hardy module over polydiscs (with A. Sasane and B. Wick) Studia Mathematica, 217 (2013), no 2, 179-192.

Operator Theory on Symmetrized Bidisc. Indiana University Mathematics Journal, 64 (2015), 847--873.

Curvature invariant and generalized canonical operator models - II (with R. Douglas, Yun-Su Kim and H. Kwon) Journal of Functional Analysis, 266 (2014), no 4, 2486-2502..

Curvature invariant and generalized canonical operator models - I (with R. Douglas, Yun-Su Kim and H. Kwon). Operator Theory Advances and Applications, 221 (2012), 293-304.

Contractions with polynomial characteristic functions I. Geometric approach (with C. Foias). Transaction of American Math. Society, 364 (2012), no. 8, 4127-4153.

Contractive Hilbert modules and their dilations (with R. Douglas and G. Misra). Israel Journal of Math. 187 (2012), 141-165.

Resolutions of Hilbert modules and similarity (with R. Douglas and C. Foias). Journal of Geometric Analysis, 22 (2012), no. 2, 471-490.

Essentially Reductive Weighted Shift Hilbert Modules (with R. G. Douglas). Journal of Operator Theory, 65 (2011), no. 2, 379-401.

A note on semi-Fredholm Hilbert modules (with R. G. Douglas). Operator Theory Advances and Applications, 202 (2010), 143-150.

Some Remarks on the Toeplitz Corona problem (with R. G. Douglas). Hilbert spaces of analytic functions, CRM Proc. Lecture Notes, 51 (2010) , Amer. Math. Soc., Providence, RI, 81-89.

On unitarily equivalent submodules (with R. G. Douglas). Indiana University Mathematics Journal, vol. 57, no. 6 (2008) 2729-2743.

On c.n.c. commuting contractive tuples (with T. Bhattacharyya and J. Eschmeier). Proc. Ind. Acad. Sc.(Math. Sci.), vol. 116 (2006), no. 3, page 299-316.

Characteristic Function for polynomially contractive commuting tuples (with T. Bhattacharyya), Journal of Mathematical Analysis and Application, vol. 321 (2006), no. 1, 242-259.

Characteristic Function of a Pure Commuting Contractive Tuple, (with T. Bhattacharyya and J. Eschmeier) Integral Equations Operator Theory, 53 (2005), no. 1, 23--32.



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