Birman-Schwinger Principle in Galactic Dynamics

• Preface.- Introduction.- The Antonov Stability Estimate.- On the Period Function $T_1$.- A Birman-Schwinger Type Operator.- Relation to the Guo-Lin Operator.- Invariances.- Appendix I: Spherical Symmetry and Action-Angle Variables.- Appendix II: Function Spaces and Operators.- Appendix III: An Evolution Equation.- Appendix IV: On Kato-Rellich Perturbation Theory.

“The book is written for specialists in galactic dynamics and for mathematical physicists attracted by gravity. … The reward comes in understanding many aspects of the Vlasov-Poisson equation in a rigorous mathematically exact way.” (Marek Nowakowski, Mathematical Reviews, October, 2022)