American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1998; 263 pp; hardcover Volume: 184 ISBN10: 0821809768 ISBN13: 9780821809761 List Price: US$120 Member Price: US$96 Order Code: TRANS2/184
 This volume is devoted to the 25yearold Voronezh Winter Mathematical School and to the scientific work of its founder, Selim Krein. The Voronezh Winter Mathematical School was a unique annual event in the scientific life of the former Soviet Union. Over the years it attracted thousands of mathematicians, from undergraduates to worldrenowned experts, and played a major role in spreading information about cutting edge results of mathematical research, triggering cooperation and educating new generations of mathematicians. The articles in this book, written by prominent mathematicians and former lecturers and participants of the school, cover a wide range of subjects in analysis and geometry, including global analysis, harmonic analysis, function theory, operator theory, spectral theory, dynamical systems, mathematical physics, homogenization, algebraic geometry, differential geometry, and geometric analysis. Readership Researchers and advanced graduate students in analysis, geometry, and mathematical physics. Table of Contents  G. Belitskii and V. Tkachenko  Fredholm property of functional equations with affine transformations of argument
 Y. M. Berezansky  Construction of generalized translation operators from the system of Appell characters
 D. Burghelea, L. Friedlander, and T. Kappeler  Witten deformation of the analytic torsion and the Reidemeister torsion
 Y. L. Daletskiĭ  Formal operator power series and the noncommutative Taylor formula
 G. Dethloff, S. Orevkov, and M. Zaidenberg  Plane curves with a big fundamental group of the complement
 B. Fridman, P. Kuchment, D. Ma, and V. G. Papanicolaou  Solution of the linearized inverse conductivity problem in a half space via integral geometry
 M. Gelfand and I. M. Spitkovsky  Almost periodic factorization: Applicability of the division algorithm
 V. Ya. Lin and M. Zaidenberg  Liouville and Carathéodory coverings in Riemannian and complex geometry
 M. Lyubich  How big is the set of infinitely renormalizable quadratics?
 Y. Lyubich  Linear operators in onedimensional extensions of Banach spaces
 S. MontgomerySmith and E. Semenov  Random rearrangements and operators
 V. I. Ovchinnikov  On reiteration theorems
 A. Pankov  Statistical homogenization theorem for multivalued monotone elliptic operators
 I. Pesenson  Reconstruction of PaleyWiener functions on the Heisenberg group
 M. Shubin  De Rham theorem for extended \(L^2\)cohomology
 M. Solomyak  On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains
 N. Zobin  Szegőtype extremal problems
