2 citations · 2 across the 5 of their papers we have counts for
6 papers
Toral Algebraic Sets and Function Theory on Polydisks
Jim Agler, John McCarthy, Mark Stankus
A toral algebraic set is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on . We develop the theory of…
Parametrizing distinguished varieties
Jim Agler, JOhn E. McCarthy
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We look at the moduli space for distinguished varieties of rank (2,2).
Distinguished Varieties
Jim Agler, John McCarthy
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Ando's inequality for commuting matrix contractions can be sharpened to…
Positivity aspects of the Fantappie transform
J. E. McCarthy, Mihai Putinar
A Hilbert space approach to the classical Fantappie transform, based on the concept of Gel'fand triples of locally convex spaces, leads to a novel proof of Martineau-Aizenberg dual…
Hilbert spaces of Dirichlet series
John E. McCarthy
We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted norms of the Dirichlet coefficients. We characterize the multiplier algebras for s…
Best approximation in the mean by analytic and harmonic functions
Dmitry Khavinson, John E. McCarthy, Harold S. Shapiro
We consider the problem of finding the best harmonic or analytic approximant to a given function. We discuss when the best approximant is unique, and what regularity properties the…