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math.CV2025
Zeros of Holomorphic Functions in Commuting and Non-commuting Variables as Spectral Data
Poornendu Kumar, Jeet Sampat
We characterize the zero sets of functions in the Schur--Agler class over the unit polydisk as well as functions in the unit ball of the multiplier algebra of the Drury--Arveson sp…
math.CV2025
Jointly cyclic polynomials and maximal domains
Mikhail Mironov, Jeet Sampat
For a (not necessarily locally convex) topological vector space of holomorphic functions in one complex variable, we show that the shift invariant subspace generated…