Generalized Schur functions as multivalent functions

DOI10.1007/s11785-020-01071-6zbMath1468.30036OpenAlexW3119957855MaRDI QIDQ2027981

Hendrik Luit Wietsma

Publication date: 28 May 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-01071-6

zbMATH Keywords

factorizationgeneralized Nevanlinna functionsgeneralized Schur functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Cites Work

• The factorization of generalized Nevanlinna functions and the invariant subspace property
• Generalized Nevanlinna functions and multivalency
• A factorization result for generalized Nevanlinna functions of the class \(N_k\)
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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