Contemporary Mathematics 1992; 478 pp; softcover Volume: 137 ISBN10: 0821851470 ISBN13: 9780821851470 List Price: US$63 Member Price: US$50.40 Order Code: CONM/137
 This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. During the week of the conference, a group of about 200 mathematicians from many nations gathered to discuss recent developments in complex analysis and to celebrate Rudin's long and productive career. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behavior of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory. Readership Advanced graduate students and researchers in complex analysis and related subjects. Reviews "Among the authors are some of the world's leading experts. Therefore this volume is an excellent report on current directions in complex analysis. It is a tribute to Walter Rudin in so far as much of the work contained in this book makes contact with work that he has done over the last forty years."  Monatshefte für Mathematik Table of Contents  P. Ahern and W. Rudin  Hulls of \(3\)spheres in \(\mathbb C^3\)
 H. Alexander  On the totally real spheres of Ahern and Rudin and Weinstein
 E. Amar  Dominant sets on the unit sphere of \(\mathbb C^n\)
 S. Bell  The Cauchy transform, the Szegö projection, the Dirichlet problem, and the Ahlfors map
 C. Berenstein, D.C. Chang, D. Pascuas, and L. Zalcman  Variations on the theorem of Morera
 F. Berteloot  A remark on local continuous extension of proper holomorphic mappings
 T. Bloom  A multivariable version of the MüntzSzasz theorem
 J. Bruna and J. M. Ortega  On \(A^\infty\) interpolating sets lying on curves
 L. Bungart  Vanishing cup products on pseudoconvex \(CR\) manifolds
 J. F. Carlson and D. N. Clark  Ext for Hilbert modules
 D.C. Chang, S. G. Krantz, and E. M. Stein  Hardy spaces and elliptic boundary value problems
 J. Chaumat and A.M. Chollet  Représentation intégral de certaines classes de jets de Whitney
 M. Christ  A class of hypoelliptic PDE admitting nonanalytic solutions
 W. C. Connett and A. L. Schwartz  Fourier analysis off groups
 B. Coupet  Uniform extendibility of automorphisms
 D. CruzUribe SFO  The class L log L with weights
 J. P. D'Angelo  The geometry of proper holomorphic maps between balls
 P. Duren, D. Khavinson, H. S. Shapiro, and C. Sundberg  Contractive zerodivisors in Bergman spaces
 F. Forelli  The theorem of F. and M. Riesz for unbounded measures
 F. Forstnerič  Intersections of analytic and smooth discs
 J. E. Fornæss and N. Sibony  Critically finite rational maps on \(\mathbb P^2\)
 J. Globevnik  A disc in the ball approaching the boundary nonnontangentially
 A. A. Himonas  On hypoellipticity for sums of squares of vector fields
 F. Jafari  Composition operators in Bergman spaces on bounded symmetric domains
 S. Kaliman  Isotopic embeddings of affine algebraic varieties into \(\mathbf C^n\)
 W. Królikowski and E. Ramírez de Arellano  Polynomial solutions of the FueterHurwitz equation
 S.Y. Li  Corona problem of several complex variables
 D. Ma  Sharp estimates of the Kobayashi metric near strongly pseudoconvex points
 P. R. Mercer  Proper maps, complex geodesics and iterates of holomorphic maps of convex domains in \({\mathbf C}^n\)
 C. Mueller  On the polynomial hull of two balls
 Y. Nishimura  Analytic automorphisms of \(\mathbf C^2\) which preserve the coordinate axes
 M. Putinar and N. Salinas  Analytic transversality and Nullstellensatz in Bergman space
 J. P. Rosay  On the radial maximal function and the Hardy Littlewood maximal function in wedges
 M.C. Shaw  Local and semiglobal existence theorems for \(\overline \partial _b\) on \(CR\) manifolds
 D. Sarason  Making an outer function from two inner functions
 A. Stanoyevitch  Arclength formulas in conformal mapping
 D. A. Stegenga and K. Stephenson  Sharp geometric estimates of the distance to VMOA
 E. L. Stout  On the onedimensional extension property
 T. V. Tonev  Analytic \(\Gamma\)almostperiodic structures in algebra spectra
 D. C. Ullrich  Recurrence for lacunary cosine series
 J. Wermer  Maximum modulus algebras
