Publications

Published/Accepted Papers (in reverse chronological order)

The list of my papers in arXiv Math is incomplete and not updated.

Here is the link to my Mathscinet.

1. Distinguished varieties in a family of domains associated with spectral interpolation and operator theory,  Annali della Scuola Normale Superiore di Pisa. Classe di Scienze , To appear, 24 pp, DOI: 10.2422/2036-2145.202203_010.

2. (With Bappa Bisai)  A Nagy-Foias program for a c.n.u $\Gamma_n$-contraction, Complex Analysis and Operator Theory, 18 (2024), no.5, Paper No. 122, 29 pp.

3. (With Saikat Roy) Dilation and Birkhoff-James orthogonality,  Journal of Mathematical Analysis and Applications, 537 (2024), Paper No. 128326, 31pp.

4. The symmetrization map and Γ-contractions, Collectanea Mathematica, 75 (2024), 81–99.

5. Correction to: Canonical decomposition of operators associated with the symmetrized polydisc,  Complex Analysis and Operator Theory, 17 (2023), Paper No. 77, 3pp.

6. Dilation, functional model and a complete unitary invariant for C.0 $\Gamma_n$-contractions,  Infinite Dimensional Analysis, Quantum Probability and Related Topics, 26 (2023), Paper No. 2250020, 20pp.

7. (With Bappa Bisai and Prajakta Sahasrabuddhe) On q-commuting co-extensions and q-commutant lifting,  Linear Algebra and Its Applications, 658 (2023), 186–205.

8. (With Bappa Bisai)  A model theory for operators associated with a domain related to $\mu$-synthesis,  Collectanea Mathematica, 74 (2023), 173–198.

9. Common reducing subspaces and decompositions of contractions,  Forum Mathematicum, 34 (2022), no.5, 1313–1332.

10. (With Samriddho Roy)  A Schwarz lemma for the symmetrized polydisc via another family of domains, Complex Analysis and Operator Theory, 16 (2022), Paper no 66, 41pp.

11. (With Samriddho Roy)  Characterizations of the symmetrized polydisc via another family of domains, International Journal of Mathematics, 32 (2021), Paper no 2150036, 29pp.

12. (With Bappa Bisai)  The fundamental operator tuples associated with the symmetrized polydisc, New York Journal of Mathematics, 27 (2021), 349–362.

13. (With Bappa Bisai) Automorphisms and the fundamental operators associated with the symmetrized tridisc, Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 131 (2021), Paper no 8, 11pp.

14. (With Samriddho Roy)  A Schwarz lemma for two families of domains and complex geometry, Complex Variables and Elliptic Equations, 2021, 66 (2021), 756–782.

15. (With Bappa Bisai)  A certain rational function and operator theory on the symmetrized polydisc, Journal of Mathematical Analysis and Applications, 495 (2021), Paper no 124714, 15pp.

16. (With Bappa Bisai)  Structure theorems for operators associated with two domains related to μ-synthesis. Bulletin des Sciences Mathématiques, 159 (2020), Paper no 102822, 30pp.

17. Canonical decomposition of operators associated with the symmetrized polydisc. Complex Analysis and Operator Theory, 12 (2018), no. 4, 931–943.

18. (With Samriddho Roy)  A generalized Schwarz lemma for two domains related to μ-synthesis. Complex Manifolds, 5 (2018), no. 1, 1–8.

19. On decomposition of operators having Γ3 as a spectral set. Operators and Matrices, 11 (2017), no. 3, 891–899.

20. Subvarieties of the tetrablock and von Neumann's inequality. Indiana University Mathematics Journal, 65 (2016), no. 6, 2051–2079.

21. Canonical decomposition of a tetrablock contraction and operator model. Journal of Mathematical Analysis and Applications, 438 (2016), no. 1, 274–284.

22. The failure of rational dilation on the tetrablock. Journal of Functional Analysis, 269 (2015), no. 7, 1903–1924.

23. From Stinespring dilation to Sz.-Nagy dilation on the symmetrized bidisc and operator models. New York Journal of Mathematics, 20 (2014), 645–664.

24. (With Tirthankar Bhattacharyya)  A functional model for pure Γ-contractions. Journal of Operator Theory, 71 (2014), no. 2, 327–339.

25. (With Orr Moshe Shalit)  Spectral sets and distinguished varieties in the symmetrized bidisc. Journal of Functional Analysis, 266 (2014), no. 9, 5779–5800.

26. (With Tirthankar Bhattacharyya and Subrata Shyam Roy)  Dilations of Γ-contractions by solving operator equations. Advances in Mathematics, 230 (2012), no. 2, 577–606.

Preprints (Pdf files available upon request)

1. Rational dilation for operators associated with spectral interpolation and distinguished varieties

2. Distinguished varieties in the polydisc and dilation of commuting contractions

3. (With Nitin Tomar) The toral contractions and Γ-distinguished Γ-contractions

4. (With Prajakta Sahasrabuddhe) Minimal isometric dilations and operator models for the polydisc

5. (With Prajakta Sahasrabuddhe) Minimal unitary dilations for commuting contractions

6. Triangular tetrablock contractions, factorization of contractions, dilation and subvarieties

7. (With Nitin Tomar) Characterizations and models for the C_{1,r} class and quantum annulus

8. (With Prajakta Sahasrabuddhe) Lifting Q-commuting and Q-intertwining operators

9. (With Prajakta Sahasrabuddhe and Nitin Tomar) Theory of q-commuting contractions : decompositions, dilations and Brehmer's positivity

10. (With Nitin Tomar)  Dilation of normal operators associated with an annulus

11. (With Nitin Tomar) Operators associated with the pentablock and their relations with biball and symmetrized bidisc

12. (With Nitin Tomar) The 2-by-2 block matrices of $\mathbb A_r$-contractions

13. (With Nitin Tomar) Joint reducing subspaces and orthogonal decompositions of operators in an annulus

14. (With Swapan Jana and Nitin Tomar) Remarks on positive definite functions on a group