This volume presents results from an AMS Special Session held on the topic in Gainesville, Florida, USA. Papers included are written by an international group of specialists who offer a cross-section of work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and...

During the 1990s, wavelets and frames have emerged as increasingly powerful tools of analysis on $n$-dimension Euclidean space. Both wavelets and frames were studied initially by using classical Fourier analysis. However, in recent years more abstract tools have been introduced, for example, from operator theory, abstract harmonic analysis, von Neumann algebras, etc. The editors of this volume organized a Special Session on the functional and harmonic analysis of wavelets at the San Antonio (TX) Joint Mathematics Meetings. The goal of the session was to focus research attention on these newly...

The 38 articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications, which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied.

This collection of articles presents a snapshot of the status of computability theory at the end of the millennium and a list of fruitful directions for future research. The papers represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM 1999 Summer Conference on Computability Theory and Applications, which focused on open problems in computability theory and on some related areas in which the ideas, methods, and/or results of computability theory play a role.

These are the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of travelling waves, asymptotic behaviour of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up,...

The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in fields of geometric function theory, Teichmuller theory, hyperbolic manifolds, and partial differential equations. This title in

A collection of research papers and articles from the scientific program of the 2004-05 Emphasis Year on Stochastic Analysis and Partial Differential Equations at Northwestern University. It discusses stochastic analysis of turbulence, Markov processes, mi

Contains papers that deal with the theory of Riemann surfaces (moduli problems and automorphisms), abelian varieties, theta functions, and modular forms. This book contains surveys on the results in the topics of interest to mathematicians and various rese

Consists of contributions by speakers at a Conference on Algebra and Its Applications that took place in Athens, Ohio, in March of 2005. This book provides a snapshot of the diversity of themes and applications that interest algebraists.

Developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book covers the proceedings of the research conference, 'Workshop in Seoul: Inverse Problems, Multi-Scale A