**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1998; 263 pp; Hardcover

MSC: Primary 35; 47; 58;

Print ISBN: 978-0-8218-0976-1

Product Code: TRANS2/184

Print ISBN: 978-0-8218-0976-1

Product Code: TRANS2/184

List Price: $126.00

AMS Member Price: $100.80

MAA member Price: $113.40

**Electronic ISBN: 978-1-4704-3395-6
Product Code: TRANS2/184.E**

List Price: $126.00

AMS Member Price: $100.80

MAA member Price: $113.40

# Voronezh Winter Mathematical Schools: Dedicated to Selim Krein

Share this page *Edited by *
*Peter Kuchment; Vladimir Lin*

This volume is devoted to the 25-year-old 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 world-renowned 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

## Voronezh Winter Mathematical Schools: Dedicated to Selim Krein

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Frontispiece Frontispiecei10
- Introduction Frontispiecei10
- Selim Grigorievich Krein xii14
- List of publications by Selim Krein xvi18
- Fredholm property of functional equations with affine transformations of argument xxvi28
- Construction of generalized translation operators from the system of Appell characters 634
- Witten deformation of the analytic torsion and the Reidemeister torsion 2250
- Formal operator power series and the noncommutative Taylor formula 4068
- Plane curves with a big fundamental group of the complement 6290
- Solution of the linearized inverse conductivity problem in a half space via integral geometry 84112
- Almost periodic factorization: Applicability of the division algorithm 96124
- Liouville and Carathéodory coverings in Riemannian and complex geometry 110138
- How big is the set of infinitely renormalizable quadratics? 130158
- Linear operators in one-dimensional extensions of Banach spaces 144172
- Random rearrangements and operators 156184
- On reiteration theorems 184212
- Statistical homogenization theorem for multivalued monotone elliptic operators 198226
- Reconstruction of Paley-Wiener functions on the Heisenberg group 206234
- De Rham theorem for extended 𝐿²-cohomology 216244
- On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains 232260
- Szegő-type extremal problems 252280
- Back Cover Back Cover1294