12 citations · 25 across the 8 of their papers we have counts for
8 papers
On Interpolation by Functions in
Raymond Cheng, Christopher Felder
This work explores several aspects of interpolating sequences for , the space of analytic functions on the unit disk with -summable Maclaurin coefficients. Much of thi…
On the geometry of the multiplier space of
Raymond Cheng, Christopher Felder
For , some properties of the space of multipliers on are derived. In particular, the failure of the weak parallelogram l…
Spectra for Toeplitz Operators Associated with a Constrained Subalgebra
Christopher Felder, Douglas T. Pfeffer, Benjamin P. Russo
A two-point algebra is a set of bounded analytic functions on the unit disk that agree at two distinct points . This algebra serves as a multiplier algebra for…
Convexity of the Berezin Range
Carl C. Cowen, Christopher Felder
This paper discusses the convexity of the range of the Berezin transform. For a bounded operator acting on a reproducing kernel Hilbert space (on a set ), this is the se…
Analogues of Finite Blaschke Products as Inner Functions
Christopher Felder, Trieu Le
We give a generalization of the notion of finite Blaschke products from the perspective of generalized inner functions in various reproducing kernel Hilbert spaces. Further, we stu…
General Optimal Polynomial Approximants, Stabilization, and Projections of Unity
Christopher Felder
For various Hilbert spaces of analytic functions on the unit disk, we characterize when a function has optimal polynomial approximants given by truncations of a single power se…
Active Manifolds: A non-linear analogue to Active Subspaces
Robert A. Bridges, Anthony D. Gruber, Christopher Felder +2
We present an approach to analyze functions that addresses limitations present in the Active Subspaces (AS) method of Constantine et al.(2015; 2014). Under appr…
Dimension Reduction Using Active Manifolds
Robert A. Bridges, Chris Felder, Chelsey Hoff
Scientists and engineers rely on accurate mathematical models to quantify the objects of their studies, which are often high-dimensional. Unfortunately, high-dimensional models are…