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Finally the general Selberg trace formula is deduced easily from the properties of the Selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the Riemann zeta-function.

Lectures Given at the Inter-University Center of Postgraduate Studies, Dubrovnik, Yugoslavia, November 3-17, 1985

This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. The volume is intended to serve both students and researchers as an invitation to active new areas of research.

This monograph is concerned with the equilibrium of linearly elastic cylinders. It gives an up-to-date and systematic treatment of extension, bending, torsion and flexure of cylinders, including the deformation of homogeneous and nonhomogeneous anisotropic elastic cylinders by loads distributed on their lateral surfaces.

The results are consequences of a strengthened form of the following assertion: Given 0

In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society.

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions.

The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function.

In these notes different deterministic and stochastic error bounds of numerical analysis are investigated. The error of Monte Carlo methods and the average error of deterministic methods are discussed as are the conceptual difficulties of different average errors.

This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Two appendices are attached: one dealing with a computer program which computes norms of finitely-supported vectors, while the other surveys recent work on weak Hilbert spaces (where a Tsirelson-type space provides an example).

The 2-yearly French-German Conferences on Optimization review the trends in the field. The proceedings of the Fifth Conference include papers on projective methods in linear programming (special session at the conference), nonsmooth optimization, two-level optimization, multiobjective optimization, and variational convergence.

The volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 23-27, 1988. The contributions are by distinguished mathematicians who have actively collaborated with the mathematical school in Pisa over the past thirty years.

The volume is devoted to the interaction of modern scientific computation and classical function theory. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.

A selection of survey or expository articles on recent work in global analysis. These essays centre on methods of global analysis in nonlinear equations and topological and geometrical methods of analysis.

The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control.

Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application.

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.

Presents the proceedings of a conference on the classification of irregular varieties held in Trento, Italy, 1990. Amongst the topics covered are projective manifolds containing large linear subspaces and rational curves on Fano varieties.

The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.g. in link and knot invariants in topology,q-special functions, conformal field theory, quantumintegrable models.