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

CO«i»b.H BaCHJIbeBHa lU>BaJIeBcR8JI (Sonja Kovalevsky) was born in Moscow in 1850 and died in Stockholm in 1891. Between these years, in the then changing and turbulent circumstances for Europe, lies the all too brief life of this remarkable woman. This life was lived out within the great European centers of power and learning in Russia, France, Germany, Switzerland, England and Sweden. To this day, now 150 years after her birth, her influence for and contribution to mathe­ matics, science, literature, women's rights and democratic government are recorded and reviewed, not only in Europe but now in countries far removed in time and distance from the lands of her birth and being. This volume, dedicated to her memory and to her achievements, records the Proceedings of the Marcus Wallenberg Symposium held, in memory of Sonja Kovalevsky, at Stockholm University from 18 to 22 June 2000. The symposium was held at the Department of Mathematics with its excellent library and lecture halls providing favourable working conditions. Within these pages are contained a curriculum vitae for Sonja Kovalevsky, a list of all her scientific publications, together with a copy of the moving and elegant obituary notice written by her friend and protector Gosta Mittag-Leffler. These papers are followed by a leading article entitled Sonja Kovalevsky: Her life and professorship in Stockholm, written especially for this volume by Jan-Erik Bjork in preparation for his major address to the Symposium.

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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. Bj?rk 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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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. Bj?rk 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.
Content:
Front Matter....Pages i-xii
Front Matter....Pages 1-1
Curriculum Vitae....Pages 3-4
Scientific Publications....Pages 5-5
Sophie Kovalevsky....Pages 7-10
Sonja Kovalevsky: Her Life and Professorship at Stockholm....Pages 11-53
Rigid Bodies and the Bordin Prize....Pages 55-60
The Limitations of the Cauchy-Kovalevsky Theorem....Pages 61-64
Front Matter....Pages 65-65
On Integrability of Many-body Problems with Point Interactions....Pages 67-76
Generalized Point Models in Boundary Contact Value Problems of Hydroelasticity....Pages 77-86
Some Spectral Properties of the Heun Differential Equation....Pages 87-110
On the Approximation of the Solution of the Schr?dinger Equation by Superpositions of Stationary Solutions....Pages 111-119
Lyapunov Exponents in Continuum Bernoulli-Anderson Models....Pages 121-130
Families of Spectral Measures with Mixed Types....Pages 131-140
Singular Point-like Perturbations of the Laguerre Operator in a Pontryagin Space....Pages 141-181
Realizations of Herglotz-Nevanlinna Functions via F-systems....Pages 183-198
Integral Equations of Relativistic Bound State Theory and Sturm-Liouville Problem....Pages 199-206
The Non-relativistic Scattering Problem for a Superposition of ?-potentials....Pages 207-217
The Laplace Operator, Null Set Perturbations and Boundary Conditions....Pages 219-231
Ergodicity in the p-adic Framework....Pages 233-244
On the Resolvent Estimates for the Generators of Strongly Continuous Groups in the Hilbert Spaces....Pages 245-251
Front Matter....Pages 253-266
Supersymmetry of the Sturm—Liouville and Korteveg—de Vries Operators....Pages 65-65
Resonance Triadic Quantum Switch....Pages 267-285
The Hamilton Operator and Quantum Vacuum for Nonconformal Scalar Fields in the Homogeneous and Isotropic Space....Pages 287-322
Boundary Conditions for Singular Perturbations of Self-adjoint Operators....Pages 323-332
Asymptotical and Topological Constructions in Hydrodynamics....Pages 333-346
Spectral Aspects of a Class of Differential Operators....Pages 347-359
Spectral Properties of Jacobi Matrices with Rapidly Growing Power-like Weights....Pages 361-385
Kovalevskaya’s Dynamics and Schr?dinger Equations of Heun Class....Pages 387-394
Effective Quantum Number for Centrally Symmetric Potentials....Pages 395-402
Back Matter....Pages 403-410
....Pages 411-424