Operator Methods in Ordinary and Partial Differential Equations : S. Kovalevsky Symposium, University of Stockholm, June 2000

by S. Kovalevsky Symposium (2000 University of Stockholm); Elander, Nils; Everitt, W. N.; Kurasov, Pavel; Alberverio, Sergio; Kovalevskaia, S. V.; Albeverio, Sergio

• ISBN13: 9783764367909
• ISBN10: 3764367903
• Format: Hardcover
• Copyright: 2002-09-01
• Publisher: Springer Verlag

Summary

This volume contains the proceedings of the Kovalevsky symposium held in Stockholm 2000. The first part is devoted to the life of S. Kovalevsky, the first female professor of mathematics, who influenced the development of European science during the last century. Historical notes by G. Mittag-Leffler and copies of official documents related to her life as well as several articles on her life and mathematics are presented. The main articles by J.-E. BjArk describe her life and professorship at Stockholm University. Part two of the volume contains 23 contributions in pure and applied mathematics, and in mathematical physics resulting from the lectures delivered within the program of the symposium.

Table of Contents

Portrait	x
Introduction	xi
Part I. Sonja Kovalevsky
Curriculum Vitae	3	(2)
Scientific publications	5	(2)
Sophie Kovalevsky	7	(4)
G. Mittag-Leffler
Sonja Kovalevsky: Her life and professorship at Stockholm	11	(44)
J.-E. Bjork
Rigid bodies and the Bordin Prize	55	(6)
J.-E. Bjork
The limitations of the Cauchy-Kovalevsky theorem	61	(6)
H.S. Shapiro
Part II. Research papers
On integrability of many-body problems with point interactions	67	(10)
S. Albeverio
S.M. Fei
P. Kurasov
Generalized point models in boundary contact value problems of hydroelasticity	77	(10)
I. V. Andronov
Some spectral properties of the Heun differential equation	87	(24)
P.B. Bailey
W.N. Everitt
D.B. Hinton
A. Zettl
On the approximation of the solution of the Schrodinger equation by superpositions of stationary solutions	111	(10)
J.F. Brasche
Lyapunov exponents in continuum Bernoulli-Anderson models	121	(10)
D. Damanik
R. Sims
G. Stolz
Families of spectral measures with mixed types	131	(10)
R. del Rio
S. Fuentes
A. Poltoratski
Singular point-like perturbations of the Laguerre operator in a Pontryagin space	141	(42)
A. Dijksma
Yu. Shondin
Realizations of Herglotz-Nevanlinna functions via F-systems	183	(16)
S. Hassi
H. de Snoo
E. Tsekanovskii
Integral equations of relativistic bound state theory and Sturm-Liouville problem	199	(8)
V. Kapshai
The non-relativistic scattering problem for a superposition of δ-potentials	207	(12)
V. Kapshai
T. Alferova
N. Elander
On the periodic magnetic Schrodinger operator in Rd. Eigenvalues and model functions	219	(14)
Yu.E. Karpeshina
The Laplace operator, null set perturbations and boundary conditions	233	(12)
W. Karwowski
S. Kondej
Ergodicity in the p-adic framework	245	(8)
A. Khrennikov
K.-O. Lindahl
M. Gundlach
On the resolvent estimates for the generators of strongly continuous groups in the Hilbert spaces	253	(14)
A.V. Kiselev
Supersymmetry of the Sturm-Liouville and Korteveg-de Vries operators	267	(20)
D. Leites
Resonance triadic quantum switch	287	(36)
A.B. Mikhaylova
B.S. Pavlov
The Hamilton operator and quantum vacuum for nonconformal scalar fields in the homogeneous and isotropic space	323	(10)
Yu. V. Pavlov
Boundary conditions for singular perturbations of self-adjoint operators	333	(14)
A. Posilicano
Asymptotical and topological constructions in hydrodynamics	347	(14)
A.I. Shafarevich
Spectral aspects of a class of differential operators	361	(26)
H.S. Shapiro
Spectral properties of Jacobi matrices with rapidly growing power-like weights	387	(8)
L.O. Silva
Kovalevskaya's dynamics and Schrodinger equations of Heun class	395	(8)
S.Yu. Slavyanov
Effective quantum number for centrally symmetric potentials	403	(8)
Yu. V. Tarbeyev
N.N. Trunov
A.A. Lobashev
V.V. Kukhar
List of participants	411	(8)
List of lecture titles	419