Research & Talks

I am working in Operator theory and holomorphic function theory.

Articles: 

• 7. 'The multivariate Herglotz-Nevanlinna class: Superresolution ' - joint work with M. Putinar. Dedicated in memory of Bent Fuglede and will appear in Analysis Mathematica (2025).          [arXiv version] 

• 6. 'Hankel operators and Projective Hilbert modules on quotients of bounded symmetric domains ' - joint work with T. Bhattacharyya and H. Sau.  [arXiv version] 

• 5. 'Function theory on quotient domains related to the polydisc ' - joint work with P. Kumar. J. Funct. Anal. 289 (2025), no. 6, Paper No. 110978. DOI is https://doi.org/10.1016/j.jfa.2025.110978. [arXiv version] 

• 4. 'Herglotz representation for operator-valued function on a set associated with test functions'- joint work with P. Kumar. Proc. Amer. Math. Soc. 153 (2025), no. 7, 2949–2963. DOI is https://doi.org/10.1090/proc/17166.  [arXiv version] 

• 3. 'Herglotz's representation and Caratheodory's approximation'- joint work with T. Bhattacharyya and P. Kumar. Bull. Lond. Math. Soc. 56 (2024), no 12, 3752-3776. DOI is https://doi.org/10.1112/blms.13165. [arXiv version] 

• 2. 'Factorization of functions in the Schur-Agler class related to test functions '- joint work with P. Kumar. Proc. Amer. Math. Soc. 152 (2024), no. 9, 3991-4001. DOI is https://doi.org/10.1090/proc/16900. [arXiv version]

• 1. 'A note on the dilation of a certain family of tetrablock contractions '- joint work with T. Bhattacharyya. In: Ptak, M., woerdeman, H. J., Wojtylak, M. (eds) Operator and Matrix Theory, Function Spaces, and Applications. IWOTA 2022. Oper. Theory Adv. and Appl., vol 295. Birkhäuser, Champ. DOI is 10.1007/978-3-031-50613-0_4.   [arXiv version]  

Seminar Talks: 

• In the conference Advances of Operator Theory with Applications to Mathematical Physics at Chapman University, California, on 'Hankel operators on the Hardy spaces of bounded symmetric domains'.

• In the PDE and Analysis seminar at the Mathematical Science Institute, Australian National University, Canberra, on 'Herglotz representation and Caratheodory approximation'.

• In the Postdoc-student symposium, April 2023 at IISc, on 'Hankel operators on the Hardy space of the symmetrized bidisc '.

• In the Prime Time Seminar at the Department of Mathematics, IISc, on 'Hankel operator on the  Hardy space of the open unit disc '.

• Presented a paper on 'Explicit dilation for a family of tetrablock contractions ' at the 37th annual conference of the Ramanujan Mathematical Society at the SSN College of Engineering, Chennai (Dec 06-08, 2022).

• In the  Postdoc-student symposium, November 2022 at IISc, on 'Rational inner function on the symmetrized polydisc and approximation '.

• In the Prime Time Seminar at the Department of Mathematics, IISc, on 'von Neumann inequality and the pseudo-hyperbolic metric in the unit disc'.