Spectral and Scattering Theory

MITSURU IKAWA is a Professor of Mathematics at Osaka University, Japan. The author of more than 40 professional papers and book chapters, he is a member of the Mathematical Society of Japan, and serves as editor of the Osaka Journal of Mathematics and associate editor of the Japanese Journal of Mathematics. Dr. Ikawa received the B.Sc. (1965) and M.Sc.(1967) degrees in mathematics from Kyoto University, Japan, and the Ph.D. degree (1970)in mathematics from Osaka University, Japan.

Preface -- Contributors -- 1. Stationary Phase Method with an Estimate of the Remainder Term over a Space of Large Dimension /Daisuke Fujiwara -- 2. Fibration of the Phase Space for the Periodic Non-Linear Schrodinger Equation and for the Periodic Toda Lattice Equations /J. C. Guillot -- 3. Poles of Scattering Matrices for Two Degenerate Convex Bodies /Mitsuru Ikawa -- 4. A Uniqueness Theorem for the N-Body Schrodinger Equation and Its Applications /Hiroshi Isozaki -- 5. Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces /Richard B. Melrose -- 6. Tunneling Effects in Momentum Space and Scattering /Shu Nakamura -- 7. Normal Form and Global Solutions for the Klein-Gordon-Zakharov Equations /Tohru Ozawa, Kimitoshi Tsutaya, and Yoshio Tsutsumi -- 8. Pointwise Semiclassical Asymptotics for Total Cross Sections in N-Body Problems /Didier Robert and Xue Ping Wang -- 9. General Characteristics of Non-Linear Dynamics /I. M. Sigal -- 10. Non-Smooth Solutions of the Elastic Wave Equation and Singularities of the Scattering Kernel /Hideo Soga -- 11. Spectral and Scattering Theory for Many-Particle Systems with Stark Effect /Hideo Tamura -- 12. Eigenfunctions of the Continuous Spectrum for the N-Particle Schrodinger Operator /D. Yafaev -- 13. The W·P -Continuity of Wave Operators for Schrodinger Operators. II. Positive Potentials in Even Dimensions m 4 /Kenji Yajima -- 14. Counting Scattering Poles /M. Zworski.