Operator Methods in Ordinary and Partial Differential Equations de Sergio Albeverio

Operator Methods in Ordinary and Partial Differential Equations: S. Kovalevski Symposium, University of Stockholm, June 2000: Operator Theory: Advances and Applications, cartea 132

Sergio Albeverio

Nils Elander

W. Nirrie Everitt

Pavel Kurasov

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. Björk 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.

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Cuprins

I. Sonja Kovalevsky.- Curriculum Vitae.- Scientific publications.- Sophie Kovalevsky.- Sonja Kovalevsky: Her life and professorship at Stockholm.- Rigid bodies and the Bordin Prize.- The limitations of the Cauchy-Kovalevsky theorem.- II. Research papers.- On integrability of many-body problems with point interactions.- Generalized point models in boundary contact value problems of hydroelasticity.- Some spectral properties of the Heun differential equation.- On the approximation of the solution of the Schrodinger equation by superpositions of stationary solutions.- Lyapunov exponents in continuum Bernoulli-Anderson models.- Families of spectral measures with mixed types.- Singular point-like perturbations of the Laguerre operator in a Pontryagin space.- Realizations of Herglotz-Nevanlinna functions via F-systems.- Integral equations of relativistic bound state theory and Sturm-Liouville problem.- The non-relativistic scattering problem for a superposition of ä-potentials.- On the periodic magnetic Schrodinger operator in Rd. Eigenvalues and model functions.- The Laplace operator, null set perturbations and boundary conditions.- Ergodicity in the p-adic framework.- On the resolvent estimates for the generators of strongly continuous groups in the Hilbert spaces.- Supersymmetry of the Sturm—Liouville and Korteveg—de Vries operators.- Resonance triadic quantum switch.- The Hamilton operator and quantum vacuum for nonconformal scalar fields in the homogeneous and isotropic space.- Boundary conditions for singular perturbations of self-adjoint operators.- Asymptotical and topological constructions in hydrodynamics.- Spectral aspects of a class of differential operators.- Spectral properties of Jacobi matrices with rapidly growing power-like weights.- Kovalevskaya’sdynamics and Schrodinger equations of Henn class.- Effective quantum number for centrally symmetric potentials.- List of participants.- List of lecture titles.