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20072013
most citedA Constrained Nevanlinna-Pick Interpolation Problem

6 citations · 11 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.FA2012

A Note on the Norm and Spectrum of a Foguel Operator

Mrinal Raghupathi

We present two ways to compute the norm of a Foguel operator. One of these is algebraic and the other makes use of the Schur complement. This gives a two simpler proof of a result…

math.FA2011

Some remarks about interpolating sequences in reproducing kernel Hilbert spaces

Mrinal Raghupathi, Brett D. Wick

In this paper we study two separate problems on interpolation. We first give some new equivalences of Stout's Theorem on necessary and sufficient conditions for a sequence of point…

math.FA2011

The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space

Ryan Hamilton, Mrinal Raghupathi

Suppose $\fA$ is an algebra of operators on a Hilbert space and $A_1,..., A_n \in \fA$. If the row operator has a right inverse in $B(H, H^{(n…

math.FA2009★ 1 cited

Duality, Tangential Interpolation, and Toeplitz Corona Problems

Mrinal Raghupathi, Brett D. Wick

In this paper we extend a method of Arveson and McCullough to prove a tangential interpolation theorem for subalgebras of . This tangential interpolation result implies a…

math.FA2008★ 1 cited

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…

math.FA2008

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.