6 citations · 9 across the 11 of their papers we have counts for
11 papers
Holomorphic Interpolation of Multivariate Completely Monotone Functions
Mainak Bhowmik, Agniva Chatterjee, Mihai Putinar
The integral representation of completely monotone functions of several real variables as Laplace or Stieltjes-Fantappié transforms of positive measures opens a Hilbert space path…
A family of tetrablock contractions with non-commuting fundamental operators
Mainak Bhowmik
In this note, we provide a family of tetrablock contractions that have tetrablock isometric dilation, but the corresponding fundamental operators do not commute. This a…
The multivariate Herglotz-Nevanlinna class: Rational approximation
Mainak Bhowmik, Mihai Putinar
We return to Takagi's variational principle, generalized after forty years to two complex variables by Pfister. Both isolating some extremal rational functions associated to a boun…
The Multivariate Herglotz-Nevanlinna Class: Superresolution
Mainak Bhowmik, Mihai Putinar
Bounded holomorphic interpolation problems associated to finitely many data have, in general, distinct solutions. Uniqueness arises only in some convex extreme configurations. Rati…
Herglotz representation for operator-valued function on a set associated with test functions
Mainak Bhowmik, Poornendu Kumar
The Herglotz representation theorem for holomorphic functions with non-negative real part is a fundamental result in the theory of holomorphic functions. In this paper, we reinterp…
Hankel operators and Projective Hilbert modules on quotients of bounded symmetric domains
Tirthankar Bhattacharyya, Mainak Bhowmik, Haripada Sau
Consider a bounded symmetric domain with a finite pseudo-reflection group acting on it as a subgroup of the group of automorphisms. This gives rise to quotient domains by means…
Factorization of functions in the Schur-Agler class related to test functions
Mainak Bhowmik, Poornendu Kumar
We provide necessary and sufficient conditions for operator-valued functions on arbitrary sets associated with a collection of test functions to have factorizations in several situ…
The Bishop-Phelps-Bollobas property for certain Banach spaces
Tirthankar Bhattacharyya, Mainak Bhowmik, Kousik Dhara
Let be a complex Banach space. We prove that if is an extremally disconnected compact Hausdorff topological space, then the pair satisfies the Bishop-Phelps-Bol…
Herglotz's representation and Caratheodory's approximation
Tirthankar Bhattacharyya, Mainak Bhowmik, Poornendu Kumar
Herglotz's representation of holomorphic functions with positive real part and Carathéodory's theorem on approximation by inner functions are two well-known classical results in th…
Function theory on quotient domains related to the polydisc
Mainak Bhowmik, Poornendu Kumar
Inner functions are the backbone of holomorphic function theory. This paper studies the inner functions on quotient domains of the open unit polydisc, $\bD^d$, arising from the gro…
A note on the dilation of a certain family of tetrablock contractions
Tirthankar Bhattacharyya, Mainak Bhowmik
We find an explicit tetrablock isometric dilation for every member of a family of tetrablock contractions indexed by a parameter in the closed unit disc (only the…