Year: 2026
Type: article
Abstract: The purpose of this paper is to develop the theory of holomorphic functions with modulus bounded by 1 on the symmetrized skew bidisc $$ \mathbb {G}_{r} {\mathop {=}\limits ^\textrm{def}} \Big \{( \lambda _{1}+r\lambda _{2} ,r\lambda _{1}\lambda _{2}): \lambda _{1}\in \mathbb {D}, \lambda _{2}\in \mathbb {D}\Big \}, $$ G r = def { ( λ 1 + r λ 2 , r λ 1 λ 2 ) : λ 1 ∈ D , λ 2 ∈ D } , for a fixed $$r \in (0,1)$$ r ∈ ( 0 , 1 ) . We show the existence of a realization formula and a model formula for such holomorphic functions.
Authors: Connor Evans, Zinaida A. Lykova, N. J. Young
Institution: Newcastle University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4417009349
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