This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on 'Composition Operators on Spaces of Analytic Functions' held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. This book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established.Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.
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978-0-8218-0768-2 (9780821807682)
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Schweitzer Klassifikation
Convergence of the Koenigs sequence by P. S. Bourdon Generating the commutant of a composition operator by B. A. Cload Some problems on composition operators by C. C. Cowen and B. D. MacCluer Order bounded and $p$-summing composition operators by T. Domenig Algebraic and essentially algebraic composition operators on the ball or polydisk by H. Heidler Composition operators on spaces of Cauchy transforms by R. A. Hibschweiler Isometrically equivalent composition operators by W. E. Hornor and J. E. Jamison Kernel functions and composition operators in weighted Bergman spaces by T. L. Kriete III A compact composition operator that is not Hilbert-Schmidt by B. A. Lotto Weighted composition operators on weighted spaces of continuous functions by J. S. Manhas The eigenfunctions of a certain composition operator by V. Matache Composition operators over convex domains in $\mathbb{C}^n$ by P. R. Mercer Composition operators on Riemann surfaces by I. Mihaila Composition operators and hypercyclic vectors by A. Montes-Rodriguez The essential norm of composition operators revisited by P. Poggi-Corradini Composition operators between Bergman spaces by M. E. Robbins Holomorphic composition operators in several complex variables by B. Russo Composition operators and Schroder's functional equation by J. H. Shapiro Semigroups of composition operators on spaces of analytic functions, a review by A. G. Siskakis.
