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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.CV2022★ 1 cited
Determining sets for holomorphic functions on the symmetrized bidisk
B. Krishna Das, P. Kumar, H. Sau
This paper studies the determining sets for analytic functions from the symmetrized bidisk into the open unit disk in . It relates the idea to the uniqueness of the solu…