3 papers
math.CV2026
Metric projections, zeros of optimal polynomial approximants, and some extremal problems in Hardy spaces
Catherine Bénéteau, Raymond Cheng, Christopher Felder +3
The well-known proof of Beurling's Theorem in the Hardy space , which describes all shift-invariant subspaces, rests on calculating the orthogonal projection of the unit const…
math.FA2024
Forward operator monoids
Christopher Felder
This work studies collections of Hilbert space operators which possess a strict monoid structure under composition. These collections can be thought of as discrete unital semigroup…
math.CV2024
Some Remarks on Shanks-type Conjectures
Christopher Felder
We discuss the zero sets of two-variable polynomials as they relate to an approximation problem in the Hardy space on the bidisk.