Publications
In preparation:
In preparation:
(1) "Commuting contractive operator pair and certain affine varieties" with B. Krishna Das
(1) "Commuting contractive operator pair and certain affine varieties" with B. Krishna Das
Preprints/submitted papers:
Preprints/submitted papers:
(1) “Dilation and model theory for pairs of commuting contractions”, arXiv:2308.07589 [math.FA] (with Joseph A. Ball)
(1) “Dilation and model theory for pairs of commuting contractions”, arXiv:2308.07589 [math.FA] (with Joseph A. Ball)
(2) “Models for q-commutative tuples of isometries”, arXiv:2207.01278 [math.FA]. (with Joseph A. Ball)
(2) “Models for q-commutative tuples of isometries”, arXiv:2207.01278 [math.FA]. (with Joseph A. Ball)
(3) "Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk", arXiv:2104.12392 [math.FA]. (with Bata K. Das and P. Kumar)
(3) "Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk", arXiv:2104.12392 [math.FA]. (with Bata K. Das and P. Kumar)
Accepted/Published:
Accepted/Published:
(15) "Pure inner functions, distinguished varieties and toral algebraic commutative contractive pairs", to appear in Proceedings of AMS, DOI: https://doi.org/10.1090/proc/16590 (with B. Krishna Das)
(15) "Pure inner functions, distinguished varieties and toral algebraic commutative contractive pairs", to appear in Proceedings of AMS, DOI: https://doi.org/10.1090/proc/16590 (with B. Krishna Das)
(14) "Determining sets for holomorphic functions on the symmetrized bidisk", arXiv:2208.06229 [math.CV] to appear in the Canadian Mathematical Bulletin, DOI: https://doi.org/10.4153/S0008439523000103 (with B. Krishna Das and P. Kumar)
(14) "Determining sets for holomorphic functions on the symmetrized bidisk", arXiv:2208.06229 [math.CV] to appear in the Canadian Mathematical Bulletin, DOI: https://doi.org/10.4153/S0008439523000103 (with B. Krishna Das and P. Kumar)
(13) "Dilation theory and functional models for tetrablock contractions", Complex Anal. Oper. Theory 17, 25 (2023). https://doi.org/10.1007/s11785-022-01282-z (with Joseph A. Ball)
(13) "Dilation theory and functional models for tetrablock contractions", Complex Anal. Oper. Theory 17, 25 (2023). https://doi.org/10.1007/s11785-022-01282-z (with Joseph A. Ball)
(12) “Toeplitz operators and Hilbert modules on the symmetrized polydisc”. arXiv:2207.01285 [math.FA] to appear in the International Journal of Mathematics (with T. Bhattacharyya and B. Krishna Das)
(12) “Toeplitz operators and Hilbert modules on the symmetrized polydisc”. arXiv:2207.01285 [math.FA] to appear in the International Journal of Mathematics (with T. Bhattacharyya and B. Krishna Das)
(11) “Algebraic properties of Toeplitz operators on the symmetrized polydisk”, Complex Anal. Oper. Theory 15, 60 (2021) https://doi.org/10.1007/s11785-021-01108-4 (with Bata K. Das)
(11) “Algebraic properties of Toeplitz operators on the symmetrized polydisk”, Complex Anal. Oper. Theory 15, 60 (2021) https://doi.org/10.1007/s11785-021-01108-4 (with Bata K. Das)
(10) “Interpolating sequences and the Toeplitz corona theorem on the symmetrized bidisk", J. Operator Theory, http://dx.doi.org/10.7900/jot.2020oct07.2311. (with T. Bhattacharyya)
(10) “Interpolating sequences and the Toeplitz corona theorem on the symmetrized bidisk", J. Operator Theory, http://dx.doi.org/10.7900/jot.2020oct07.2311. (with T. Bhattacharyya)
(9) “Distinguished Varieties Through the Berger-Coburn-Lebow Theorem”, Analysis and PDE, https://doi.org/10.2140/apde.2022.15.477. (with T. Bhattacharyya and P. Kumar)
(9) “Distinguished Varieties Through the Berger-Coburn-Lebow Theorem”, Analysis and PDE, https://doi.org/10.2140/apde.2022.15.477. (with T. Bhattacharyya and P. Kumar)
(8) “Functional Models for Commuting Hilbert-space Contractions”, Operator Theory: Advances and Applications (Ron Douglas Memorial Volume), 278. Birkhauser, 2020, 11–54 https://doi.org/10.1007/978-3-030-43380-2 (with Joseph A. Ball)
(8) “Functional Models for Commuting Hilbert-space Contractions”, Operator Theory: Advances and Applications (Ron Douglas Memorial Volume), 278. Birkhauser, 2020, 11–54 https://doi.org/10.1007/978-3-030-43380-2 (with Joseph A. Ball)
(7) “Toeplitz operators on the symmetrized bidisc”, Int. Math. Res. Not. (IMRN), https://doi.org/10.1093/imrn/rnz333. (with T. Bhattacharyya and Bata K. Das)
(7) “Toeplitz operators on the symmetrized bidisc”, Int. Math. Res. Not. (IMRN), https://doi.org/10.1093/imrn/rnz333. (with T. Bhattacharyya and Bata K. Das)
(6) “Rational dilation of tetrablock contractions revisited”, J. Functional Analysis, https://doi.org/10.1016/j.jfa.2019.108275. (with Joseph A. Ball)
(6) “Rational dilation of tetrablock contractions revisited”, J. Functional Analysis, https://doi.org/10.1016/j.jfa.2019.108275. (with Joseph A. Ball)
(5) “Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension”, J. Functional Analysis, 274 (2018), 504-524. https://doi.org/10.1016/j.jfa.2017.09.013 (with T. Bhattacharyya)
(5) “Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension”, J. Functional Analysis, 274 (2018), 504-524. https://doi.org/10.1016/j.jfa.2017.09.013 (with T. Bhattacharyya)
(4) “Admissible fundamental operators”, J. Math. Anal. Appl. 425 (2015), no. 2, 983-1003. https://doi.org/10.1016/j.jmaa.2015.01.006 (with T. Bhattacharyya and Sneh Lata)
(4) “Admissible fundamental operators”, J. Math. Anal. Appl. 425 (2015), no. 2, 983-1003. https://doi.org/10.1016/j.jmaa.2015.01.006 (with T. Bhattacharyya and Sneh Lata)
(3) “A note on tetrablock contractions”, New York J. Math. 21 (2015) 1347-1369. http://nyjm.albany.edu/j/2015/21-62p.pdf
(3) “A note on tetrablock contractions”, New York J. Math. 21 (2015) 1347-1369. http://nyjm.albany.edu/j/2015/21-62p.pdf
(2) “Explicit and unique construction of tetrablock unitary dilation in a certain case”, Complex Anal. Oper. Theory 10 (2016), 749-768. https://doi.org/10.1007/s11785-015-0472-9 (with T. Bhattacharyya)
(2) “Explicit and unique construction of tetrablock unitary dilation in a certain case”, Complex Anal. Oper. Theory 10 (2016), 749-768. https://doi.org/10.1007/s11785-015-0472-9 (with T. Bhattacharyya)
(1) “Γ-unitaries, dilation and a natural example”, Publ. Res. Inst. Math. Sci. 53 (2017), 261-285. DOI: 10.4171/PRIMS/53-2-2 (with T. Bhattacharyya)
(1) “Γ-unitaries, dilation and a natural example”, Publ. Res. Inst. Math. Sci. 53 (2017), 261-285. DOI: 10.4171/PRIMS/53-2-2 (with T. Bhattacharyya)