Collected Works 1998; 1134 pp; hardcover Volume: 9 ISBN10: 0821808583 ISBN13: 9780821808580 List Price: US$273 Member Price: US$218.40 Order Code: CWORKS/9
 One of the founders of a major modern branch of complex analysis, Lipman Bers made fundamental contributions to the modern theory of Kleinian groups and moduli of Riemann surfaces. This volume is a collection of Bers' papers in complex analysis. Included are seminal papers in the field and articles by the editors and other colleagues discussing Bers' achievements and influence on the mathematical developments of the second half of the 20th century. Lists of his students, his publications, and reprints of hardtofind papers are included. Readership Graduate students, research mathematicians and physicists working in complex analysis. Reviews "In bringing out this fine twovolume set, the editors have made a valuable contribution to the further development of complex analysis."  Mathematical Reviews "The two volumes document the historical development and progress in research on the subjects made by one of its outstanding figures during almost half a century, with intimate connections to the work of others, including Ahlfors, I.N. Vekua, and the many students of Bers."  Zentralblatt MATH Table of Contents Part 1. Research Papers  On bounded analytic functions of two complex variables in certain domains with distinguished boundary surface
 On rings of analytic functions
 Singularities of minimal surfaces
 Isolated singularities of minimal surfaces
 Abelian minimal surfaces
 Boundary value problems for minimal surfaces with singularities at infinity
 Univalent solutions of linear elliptic systems
 On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications
 On linear and nonlinear elliptic boundary values in the plane
 Local behavior of solutions of general linear elliptic equations
 An outline of the theory of pseudoanalytic functions
 Formal powers and power series
 On a theorem of Mori and the definition of quasiconformality
 Simultaneous uniformization
 Spaces of Riemann surfaces as bounded domains
 Riemann's mapping theorem for variable metrics
 Uniformization and moduli
 Completeness theorems for Poincaré series in one variable
 Quasiconformal mappings and Teichmüller's theorem
 Spaces of Riemann surfaces
 Holomorphic differentials as functions of moduli
 Uniformization by Beltrami equations
 The equivalence of two definitions of quasiconformal mappings
 Holomorphic convexity of Teichmüller spaces
 An approximation theorem
 Automorphic forms and Poincaré series for infinitely generated Fuchsian groups
 Automorphic forms and general Teichmüller spaces
 A nonstandard integral equation with applications to quasiconformal mappings
 On Ahlfors' finiteness theorem
 Inequalities for finitely generated Kleinian groups
 Universal Teichmüller space
 On boundaries of Teichmüller spaces and on Kleinian groups. I
 \(L_1\) approximation of analytic functions
 Spaces of Kleinian groups
 Acknowledgments
Part 2  Extremal quasiconformal mappings
 Isomorphisms between Teichmüller spaces
 Eichler integrals with singularities
 Uniformization, moduli, and Kleinian groups
 A remark on Mumford's compactness theorem
 Fiber spaces over Teichmüller spaces
 Poincaré series for Kleinian groups
 Spaces of degenerating Riemann surfaces
 On spaces of Riemann surfaces with nodes
 Automorphic forms for Schottky groups
 Deformations and moduli of Riemann surfaces with nodes and signatures
 On Hilbert's 22nd problem
 Nielsen extensions of Riemann surfaces
 The action of the universal modular group on certain boundary points
 Quasiconformal mappings, with applications to differential equations, function theory, and topology
 An extremal problem for quasiconformal mappings and a theorem by Thurston
 An application of quasiconformal mappings to topology
 A new proof of a fundamental inequality for quasiconformal mappings
 The action of the modular group on the complex boundary
 Finite dimensional Teichmüller spaces and generalizations
 On trace formula
 On iterates of hyperbolic transformations of Teichmüller space
 On a theorem of Abikoff
 An inequality for Riemann surfaces
 Holomorphic families of isomorphisms of Möbius groups
 Fricke spaces
 Holomorphic families of injections
 On Teichmüller's proof of Teichmüller's theorem
 On Sullivan's proof of the finiteness theorem and the eventual periodicity theorem
 The migration of European mathematicians to America
 Acknowledgments
