Differential Operators and Related Topics : Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18-22, 1997,9783764362874

Differential Operators and Related Topics : Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18-22, 1997

by ; ; ; ; ;
ISBN13: 9783764362874
ISBN10: 3764362871
Format: Hardcover
Pub. Date: 2000-04-01
Publisher(s): Springer Verlag
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Summary

The present book is the first of the two volume proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine, from August 18-22, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This first volume is devoted to the theory of differential operators and related topics. It opens with a description of the conference, biographical material and a number of survey papers about the work of M. G. Krein. The main part of the book consists of original research papers presenting the state of the art in the area of differential operators. The second volume of these proceedings, entitled Operator Theory and Related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide range of readership in pure and applied mathematics, physics and engineering sciences.

Table of Contents

Preface v
Table of Contents
vii
Picture of M. G. Krein xi
About the Mark Krein International Conference 1(418)
Mark Grigorevich Krein (A short biography)
5(4)
I. Gohberg
The Seminar on Ship Hydrodynamics, Organized
9(12)
M.G. Krein
V.G. Sizov
Review Papers:
The Works of M.G. Krein on Eigenfunctions Expansion for Selfadjoint Operators and their Applications and Development
21(24)
Yu. M. Berezansky
M.G. Krein and the Extension Theory of Symmetric Operators. Theory of Entire Operators
45(14)
M. Gorbachuk
V. Gorbachuk
Works by M.G. Krein on Inverse Problems
59(12)
L.A. Sakhnovich
Research Papers:
The Spectrum of Periodic Point Perturbations and the Krein Resolvent Formula
71(16)
J. Briuning
V.A. Geyler
The Periodic Choquard Equation
87(14)
Ya. M. Dymarski
On the Best Constant in a Poincare-Sobolev Inequality
101(10)
Y.V. Egorov
On Solutions of Parabolic Equations from Families of Banach Spaces Dependent on Time
111(16)
S.D. Eidelman
S.D. Ivasyshen
Canonical Systems on the Line with Rational Spectral Densities: Explicit Formulas
127(14)
I. Gohberg
M.A. Kaashoek
A.L. Sakhnovich
Oscillations in Systems with Periodic Coefficients and Sector-restricted Nonlinearities
141(14)
A. Halanay
Vl. Rasvan
Differential Operator Matrices of Mixed Order with Periodic Coefficients
155(10)
R. Hryniv
A. Shakalikov
A. Vladimirov
Asymptotics of Generalized Eigenvectors for Unbounded Jacobi Matrices with Power-like Weights, Pauli Matrices Commutation Relations and Cesaro Averaging
165(22)
J. Janas
S. Naboko
Functional Means, Convolution Operators and Semigroups
187(12)
S. Koshkin
The Inverse Spectral Problem for First Order Systems on the Half Line
199(40)
M. Lesch
M. Malamud
Exact Solution of the Marchenko Equation Relevant to Inverse Scattering on the Line
239(22)
Mee
Cornelis van der
An Arbitrary Oriented Crack in the Box Shell
261(6)
V.I. Migdalski
V. V. Reut
Homogeneity of a String having Three Unperturbed Spectra
267(6)
V.N. Pivovarchik
On the Integro-differential Equation of a Torsion of an Elastic Medium Including a Cylindrical Crack
273(8)
G. Popov
B. Kebli
Green's Formula and Theorems on Isomorphisms for General Elliptic Problems for Douglis-Nirenberg Elliptic Systems
281(20)
I. Roitberg
Y. Roitberg
Sobolev's Problem in Complete Scale of Banach Spaces
301(12)
Y. Roitberg
V. Los
A. Sklyarets
On the Simple Waves with Profiles in the Form of some Special Functions-Chebyshov-Hermite, Mathiev, Whittaker-in Two-phase Media
313(10)
J. Rushchitsky
S. Rushchitska
Inverse Spectral Problem Related to the N-wave Equation
323(16)
A.L. Sakhnovich
Degenerated Hyperbolic Approximations of the Wave Theory of Elastic Plates
339(16)
I. Selezov
Elliptic Problems with a Shift in Complete Scales of Sobolev-type Spaces
355(4)
Z.G. Shefted
On the Extermal Regularization of the Variational Inequalities with Multivalued Operators
359(12)
O.V. Solonoukha
Poly-Fock Spaces
371(16)
N.L. Vasilevski
Diffraction of Longitudinal Shear Waves by a Hollow Thick Circular Cylinder which is Situated in the Elastic Halfspace
387(6)
N. Whitefield
On M.G. Krein's Spectral Shift Function for Canonical Systems of Differential Equations
393(26)
Y.A. Yavrian
Table of Contents of Volume II 419

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