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Hardcover ISBN:  9780821809761 
Product Code:  TRANS2/184 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433956 
Product Code:  TRANS2/184.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821809761 
eBook ISBN:  9781470433956 
Product Code:  TRANS2/184.B 
List Price:  $340.00 $257.50 
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AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 184; 1998; 263 ppMSC: Primary 35; 47; 58
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.
ReadershipResearchers and advanced graduate students in analysis, geometry, and mathematical physics.

Table of Contents

Chapters

Genrich Belitskii and Vadim Tkachenko — Fredholm property of functional equations with affine transformations of argument

Yurij M. Berezansky — Construction of generalized translation operators from the system of Appell characters

Dan Burghelea, Leonid Friedlander and Thomas Kappeler — Witten deformation of the analytic torsion and the Reidemeister torsion

Yuri L. Daletskiĭ — Formal operator power series and the noncommutative Taylor formula

Gerd Dethloff, Stepan Orevkov and Mikhail Zaidenberg — Plane curves with a big fundamental group of the complement

Buma Fridman, Peter Kuchment, Daowei Ma and Vassilis G. Papanicolaou — Solution of the linearized inverse conductivity problem in a half space via integral geometry

Mark Gelfand and Ilya M. Spitkovsky — Almost periodic factorization: Applicability of the division algorithm

Vladimir Ya. Lin and Mikhail Zaidenberg — Liouville and Carathéodory coverings in Riemannian and complex geometry

Mikhail Lyubich — How big is the set of infinitely renormalizable quadratics?

Yuri Lyubich — Linear operators in onedimensional extensions of Banach spaces

Stephen MontgomerySmith and Evgueni Semenov — Random rearrangements and operators

Vladimir I. Ovchinnikov — On reiteration theorems

Alexander Pankov — Statistical homogenization theorem for multivalued monotone elliptic operators

Isaac Pesenson — Reconstruction of PaleyWiener functions on the Heisenberg group

Mikhail Shubin — De Rham theorem for extended $L^2$cohomology

Michael Solomyak — On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains

Nahum Zobin — Szegőtype extremal problems


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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.
Researchers and advanced graduate students in analysis, geometry, and mathematical physics.

Chapters

Genrich Belitskii and Vadim Tkachenko — Fredholm property of functional equations with affine transformations of argument

Yurij M. Berezansky — Construction of generalized translation operators from the system of Appell characters

Dan Burghelea, Leonid Friedlander and Thomas Kappeler — Witten deformation of the analytic torsion and the Reidemeister torsion

Yuri L. Daletskiĭ — Formal operator power series and the noncommutative Taylor formula

Gerd Dethloff, Stepan Orevkov and Mikhail Zaidenberg — Plane curves with a big fundamental group of the complement

Buma Fridman, Peter Kuchment, Daowei Ma and Vassilis G. Papanicolaou — Solution of the linearized inverse conductivity problem in a half space via integral geometry

Mark Gelfand and Ilya M. Spitkovsky — Almost periodic factorization: Applicability of the division algorithm

Vladimir Ya. Lin and Mikhail Zaidenberg — Liouville and Carathéodory coverings in Riemannian and complex geometry

Mikhail Lyubich — How big is the set of infinitely renormalizable quadratics?

Yuri Lyubich — Linear operators in onedimensional extensions of Banach spaces

Stephen MontgomerySmith and Evgueni Semenov — Random rearrangements and operators

Vladimir I. Ovchinnikov — On reiteration theorems

Alexander Pankov — Statistical homogenization theorem for multivalued monotone elliptic operators

Isaac Pesenson — Reconstruction of PaleyWiener functions on the Heisenberg group

Mikhail Shubin — De Rham theorem for extended $L^2$cohomology

Michael Solomyak — On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains

Nahum Zobin — Szegőtype extremal problems