6 citations · 9 across the 5 of their papers we have counts for
5 papers
Abrahamse's interpolation theorem and Fuchsian groups
Mrinal Raghupathi
We generalize Abrahamse's interpolation theorem from the setting of a multiply connected domain to that of a more general Riemann surface. Our main result provides the scalar-value…
Function Theory in Real Hardy Spaces
Mrinal Raghupathi, Dinesh Singh
We show that many classical results in Hardy space theory have exact analogues when the Fourier coefficients are allowed only to be real.
Nevanlinna-Pick interpolation for
Mrinal Raghupathi
Given an inner function we classify the invariant subspaces of the algebra . We derive a formula in terms of these invariant subspaces for the…
A Constrained Nevanlinna-Pick Interpolation Problem
Kenneth R. Davidson, Vern I. Paulsen, Mrinal Raghupathi +1
We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy $…
Some new equivalences of Anderson's paving conjectures
Vern I. Paulsen, Mrinal Raghupathi
Anderson's paving conjectures are known to be equivalent to the Kadison-Singer problem. We prove some new equivalences of Anderson's conjectures that require the paving of smaller…