Ebook: Advances in analysis : proceedings of the 4th International ISAAC Congress, York University, Toronto, Canada, 11-16 August 2003

This text begins with a brief outline of the ideas and methods of the mathematical modelling of populations. It goes on to cover such topics as the growth dynamics of isolated populations, predator-prey interaction, and competition and symbiosis * 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.) * Bp, Qp 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