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Lie Theory and Geometry
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant’s fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant’s work.
Complex Potential Theory
Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993
Lessons from Animal Diabetes VI
Genic constructs. Five articles are devoted to this topic ranging from the B-cell function in transgenic animals to the various effects on diabetes complications. The section on NIDDM, comprising of 10 articles, deals both with new and existing models, their particular widely varying pathogenesis, genetic character istics and complications. The animals reviewed include: spontaneously diabetic OLETF rats, Chinese hamsters, Goto-Kakizaki rats, db/db mice, rhesus monkeys, dogs and an article demonstrating the genetic link between the Zucker fa/fa and corpulent cp/cp obese interstrains. We wish to welcome the new members to our Editorial Board, Dr. Hubert Kolb from Dusseldorf, Dr. Alex Rabinovit...
Mathematical Reviews
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Eigenfunctions of the Laplacian on a Riemannian Manifold
Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow. The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions...
