38 citations · 253 across the 49 of their papers we have counts for
4 papers · 1 filter
Non-commutative manifolds, the free square root and symmetric functions in two non-commuting variables
Jim Agler, John E. McCarthy, N. J. Young
The richly developed theory of complex manifolds plays important roles in our understanding of holomorphic functions in several complex variables. It is natural to consider manifol…
Radially weighted Besov spaces and the Pick property
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
For the weighted Besov space on the unit ball of is defined by $B^s_ω=\{f\in \operatorname{Hol}(\mathbb B_d): \int_{\mathbb B_d}|R^sf|^…
Weak products of complete Pick spaces
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
Let be the Drury-Arveson or Dirichlet space of the unit ball of . The weak product of is the collection of all fu…
The Krzyż Conjecture and an Entropy Conjecture
Jim Agler, John E. McCarthy
We show that if the minimum entropy for a polynomial with roots on the unit circle is attained by polynomials with equally spaced roots, then, under a generic hypothesis about the…