Contemporary Mathematics 1998; 252 pp; softcover Volume: 213 ISBN10: 0821807684 ISBN13: 9780821807682 List Price: US$60 Member Price: US$48 Order Code: CONM/213
 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 highquality research and expository articles on composition operators in one and several variables. The 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. Readership Graduate students and research mathematicians interested in operator theory, electrical engineers working in control theory, and physicists working on hyperbolic manifolds. Table of Contents  P. S. Bourdon  Convergence of the Koenigs sequence
 B. A. Cload  Generating the commutant of a composition operator
 C. C. Cowen and B. D. MacCluer  Some problems on composition operators
 T. Domenig  Order bounded and \(p\)summing composition operators
 H. Heidler  Algebraic and essentially algebraic composition operators on the ball or polydisk
 R. A. Hibschweiler  Composition operators on spaces of Cauchy transforms
 W. E. Hornor and J. E. Jamison  Isometrically equivalent composition operators
 T. L. Kriete III  Kernel functions and composition operators in weighted Bergman spaces
 B. A. Lotto  A compact composition operator that is not HilbertSchmidt
 J. S. Manhas  Weighted composition operators on weighted spaces of continuous functions
 V. Matache  The eigenfunctions of a certain composition operator
 P. R. Mercer  Composition operators over convex domains in \(\mathbb{C}^n\)
 I. Mihaila  Composition operators on Riemann surfaces
 A. MontesRodríguez  Composition operators and hypercyclic vectors
 P. PoggiCorradini  The essential norm of composition operators revisited
 M. E. Robbins  Composition operators between Bergman spaces
 B. Russo  Holomorphic composition operators in several complex variables
 J. H. Shapiro  Composition operators and Schröder's functional equation
 A. G. Siskakis  Semigroups of composition operators on spaces of analytic functions, a review
