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math.FA2026
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…
math.FA2025
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…