Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces

Containing the extended notes from the Paris lectures held at the Emile Brel Centre of the Henri Poincaré Institute, April through July 2002, this volume contains 14 chapters representing recent studies on heat kernels. The studies include research in various situations and using related geometric and analytic tools. Topics include complex-coefficient operators, diffusions on fractals, isoperimetry, infinite dimensional analysis, Sobolev-type spaces, quasi-regular mappings, p -Laplace operators, spectral geometry on crystal lattices, and isocapacitary inequalities. The volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)