Mean growth of Koenigs eigenfunctions

DOI10.1090/S0894-0347-97-00224-5zbMath0870.30018OpenAlexW1503224085MaRDI QIDQ4336038

Joel H. Shapiro, Paul S. Bourdon

Publication date: 6 May 1997

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-97-00224-5

zbMATH Keywords

Schröder's functional equationKoenigs eigenfunction

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear operators on function spaces (general) (47B38)

Related Items

Spectra of weighted composition operators on weighted Banach spaces of analytic functions, POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES, Norm convergence of normalized iterates and the growth of Kœnigs maps, Convergence of powers of composition operators on certain spaces of holomorphic functions defined on the right half plane, In Koenigs' footsteps: diagonalization of composition operators, Spectra of composition operators on the Bloch and Bergman spaces, Interplay between complex symmetry and Koenigs eigenfunctions, Asymptotics and isometries of weighted composition operators on Banach spaces of holomorphic functions, Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions, Spectra of weighted composition operators on analytic function spaces, Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces, Essential angular derivatives and maximum growth of Koenigs eigenfunctions, Spectra of weighted composition operators on algebras of analytic functions on banach spaces

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