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Constructive, Experimental, and Nonlinear Analysis
Edited by: Michel Théra, University of Limoges, France
A co-publication of the AMS and Canadian Mathematical Society.
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2000; 289 pp; softcover
Volume: 27
ISBN-10: 0-8218-2167-9
ISBN-13: 978-0-8218-2167-1
List Price: US$87 Member Price: US$69.60
Order Code: CMSAMS/27

This volume presents twenty original refereed papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in nonsmooth and functional analysis with applications to control theory. These papers originated largely from a conference held in conjunction with a 1999 Doctorate Honoris Causa awarded to Jonathan Borwein at Limoges. As such they reflect the areas in which Dr. Borwein has worked. In addition to providing a snapshot of research in the field of modern analysis, the papers suggest some of the directions this research is following at the beginning of the millennium.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Researchers interested in modern analysis.

• H. H. Bauschke, F. Deutsch, H. Hundal, and S.-H. Park -- Fejér monotonicity and weak convergence of an accelerated method of projections
• J. Benoist and J.-B. Hiriart-Urruty -- General "squeeze theorems" in nonsmooth analysis
• B. C. Berndt and D. C. Bowman -- Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant
• P. Borwein -- An efficient algorithm for the Riemann zeta function
• E. B. Burger and A. J. van der Poorten -- On periods of elements from real quadratic number fields
• R. Deville and C. Finet -- Vector-valued perturbed minimization principles
• P. Flajolet and B. Vallée -- Continued fractions, comparison algorithms, and fine structure constants
• M. Gabour, S. Reich, and A. J. Zaslavski -- A class of dynamical systems with a convex Lyapunov function
• M. Geoffroy and M. Lassonde -- On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials
• J. R. Giles and J. D. Vanderwerff -- Rotundity related to Lipschitz separation
• A. Ioffe -- Codirectional compactness, metric regularity and subdifferential calculus
• V. Jeyakumar and M. J. Nealon -- Complete dual characterizations of optimality for convex semidefinite programming
• A. Jofré -- A second-welfare theorem in nonconvex economies
• A. Kaplan and R. Tichatschke -- Auxiliary problem principle and the approximation of variational inequalities with non-symmetric multi-valued operators
• J. Maeght, D. Noll, and S. Boyd -- Dynamic emission tomography-Regularization and inversion
• J. E. Martinez-Legaz and I. Singer -- Semi-spaces and bases of convexity systems in complete lattices
• B. S. Mordukhovich and B. Wang -- On variational characterizations of Asplund spaces
• J.-P. Penot -- Transposition of relations
• B. Ricceri -- On a classical existence theorem for nonlinear elliptic equations
• L. Thibault -- Limiting convex subdifferential calculus with applications to integration and maximal monotonicity of subdifferential