47 citations · 117 across the 21 of their papers we have counts for
22 papers
Characterizing Model Spaces Among the Finite Dimensional RKHS with Pick Kernels
Richard Rochberg
We give several characterizations of those finite dimensional HSRK with complete Pick kernels which are model spaces. One characterization involves the size of the solution to a mu…
The Hardy space from an engineer's perspective
Nicola Arcozzi, Richard Rochberg
We give an overview of parts of the theory of Hardy spaces from the viewpoint of signals and systems theory. There are books on this topic, which dates back to Bode, Nyquist, and W…
Tetrahedra in complex hyperbolic space and Hilbert spaces with Pick kernels
Richard Rochberg
We study of the relation between the geometry of sets in complex hyperbolic space and Hilbert spaces with complete Pick kernels. We focus on the geometry associated with assembling…
Complex Hyperbolic Geometry and Hilbert Spaces with the Complete Pick Property
Richard Rochberg
Suppose is a finite dimensional reproducing kernel Hilbert space of functions on If has the complete Pick property then there is an isometric map, from with…
Onto Interpolating Sequences for the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer
We describe two new classes of onto interpolating sequences for the Dirichlet space, in particular resolving a question of Bishop. We also give a complete description of the analog…
Is the Dirichlet Space a Quotient of ?
Richard Rochberg
We show that the Dirichlet space is not a quotient of the Drury-Arveson space on the n-ball for any finite n. The proof is based a quantitative comparison of the metrics induced by…