Alexander Brudnyi

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math.CV2024

On algebras of Dirichlet series invariant under permutations of coefficients

Alexander Brudnyi, Amol Sasane

Let $O_{u}$ be the algebra of holomorphic functions on $C_{+} := {s \in C : Re s > 0}$ that are limits of Dirichlet series $D = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ , $s\in…

math.CV2024

Runge-Type Approximation Theorem for Banach-valued $H^{\infty}$ Functions on a Polydisk

Alexander Brudnyi

Let $D^{n} \subset C^{n}$ be the open unit polydisk, $K \subset D^{n}$ be an $n$ -ary Cartesian product of planar sets, and $U^\subset M^{n}$ be an open ne…

On algebras of Dirichlet series invariant under permutations of coefficients

Runge-Type Approximation Theorem for Banach-valued H∞ Functions on a Polydisk

Runge-Type Approximation Theorem for Banach-valued $H^{\infty}$ Functions on a Polydisk