edited by H G W Begehr (Freie Universität Berlin, Germany) , R P Gilbert (University of Delaware, USA) , M E Muldoon (York University, Canada) , & M W Wong (York University, Canada)

This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).

A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas — not given special emphasis in previous meetings — include special functions and orthogonal polynomials, harmonic analysis, and partial differential equations.

• Evaluation of Sylvester Type Determinants Using Orthogonal Polynomials (R Askey)
• Entropy Numbers of Sobolev and Besov Classes on Homogeneous Spaces (A Kushpel & S Tozoni)
• Operator Equations and Best Approximation Problems in Reproducing Kernel Hilbert Spaces with Tikhonov Regularization (S Saitoh et al.)
• B^p, Q_p Spaces and Harmonic Majorants (E R de Arellano et al.)
• Dual Integral Equations Method for Some Mixed Boundary Value Problems (J M Rappoport)
• Combined Integral Representations (H Begehr)
• Remarks on Quantum Differential Operators (R Carroll)
• Weak and Strong Solutions for Pseudo-Differential Operators (M W Wong)
• Comparison Results for Quasilinear Elliptic Hemivariational Inequalities (S Carl)
• Zeros and Signs of Solutions for Some Reaction-Diffusion Systems (H Uesaka)
• Remarks on Quantum KdV (R Carroll)
• Classical Dynamics of Quantum Variations (M Kondratieva & S Sadov)
• On the Zeros of a Transcendental Function (M V DeFazio & M E Muldoon)
• The First Positive Zeros of Cylinder Functions and of Their Derivatives (L Lorch)
• Bergman Kernel for Complex Harmonic Functions on Some Balls (K Fujita)
• Time-Frequency Spectra of Music (J S Walker & A J Potts)
• Dynamics of Spectra of Toeplitz Operators (S Grudsky & N Vasilevski)
• On Sets of Range Uniqueness for Entire Functions (M T Alzugaray)
• Conjectures and Counterexamples in Dynamics of Rational Semigroups (R Stankewitz et al.)
• and other papers