edited by Ding-Xuan Zhou (City University of Hong Kong, China)

WAVELET ANALYSIS
Twenty Years' Developments
Proceedings of the International Conference of Computational Harmonic Analysis
Hong Kong, China 4 - 8 June 2001

Series in Analysis - Vol. 1

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 ・8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis. The central theme was wavelet analysis in the broadest sense, covering time-frequency and time-scale analysis, filter banks, fast numerical computations, spline methods, multiscale algorithms, approximation theory, signal processing, and a great variety of applications.
This proceedings volume contains sixteen papers from the lectures given by plenary and invited speakers. These include expository articles surveying various aspects of the twenty-year development of wavelet analysis, and original research papers reflecting the wide range of research topics of current interest.

Contents:

• Squeezable Bases and Semi-regular Multiresolutions (D Bruff & D P Hardin)
  Multilevel Structure of NURBS and Formulation of NURBlets (C K Chui & J-A Lian)
  Nonstationary Wavelets (S Dekel & D Leviatan)
  Spline-type Spaces in Gabor Analysis (H G Feichtinger)
  The Initial Functions in a Cascade Algorithm (B Han)
  On the Self-affine Sets and the Scaling Functions (X-G He et al.)
  Cascade Algorithms in Wavelet Analysis (R-Q Jia)
  Block Tridiagonal Matrices and the Kalman Filter (G Strang)
  A Special Class of Wavelet Frame Functions (W-C Sun et al.)
  Advances in Wavelet Algorithms and Applications (M V Wickerhauser)
  and other papers

Readership: Researchers, academics and graduate students in analysis & differential equations, pattern, handwriting recognition/image analysis and electrical & electronic engineering.

320pp Pub. date: Aug 2002
ISBN 981-238-142-2

edited by Nigel T Bishop (University of South Africa, South Africa) & Sunil D Maharaj (University of Natal, South Africa)

GENERAL RELATIVITY AND GRAVITATION
Proceedings of the 16th International Conference, Durban, South Africa 15 - 21 July 2001

The 16th conference of the International Society on General Relativity and Gravitation (GR16), held at the International Convention Centre in Durban, South Africa, from 15 to 21 July, was attended by 450 delegates from around the world. The scientific programme comprised 18 plenary lectures, 1 public lecture and 19 workshops which, excepting 3 plenary lectures, are presented in this proceedings. It was the first major international conference on general relativity and gravitation held on the African continent.

Contents:

• Simplicial Euclidean and Lorentzian Quantum Gravity (J Ambjorn)
  An Overview of Gravitational-Wave Sources (C Cutler & K Thorne)
  Gravitating Lumps (D Gal'tsov)
  Strings, Gravity and Particle Physics (J Maldacena)
  The Lighter Side of Gravity (J Narlikar)
  Exact Solutions and Their Interpretation (J Bicak)
  Approximation Methods (C Will)
  Physics of the Early Universe (K-I Maeda)
  Mathematical Cosmology (P Dunsby)
  Tests of Special and General Relativity (A Beesham)
  Quantum Field Theory in Curved Spacetime (L Ford)
  and other papers

Readership: Researchers and research students in general relativity, relativistic astrophysics, cosmology, experimental gravity and quantum gravity.

500pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-171-6

edited by Frank Wolter (University of Leipzig, Germany), Heinrich Wansing (Dresden University of Technology, Germany), Maarten de Rijke (University of Amsterdam, The Netherlands) & Michael Zakharyaschev (King's College London, UK)

ADVANCES IN MODAL LOGIC, Volume 3

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic broadly conceived. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics.
Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on "Advances in Modal Logic", held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic.

Contents:

• From Description to Hybrid Logics, and Back (C Areces & M de Rijke)
  Homophonic Theory of Truth for Tense Logic (Torben Brauner)
  Weak Necessity on Weak Kleene Matrices (F Correia)
  Bimodal Logics for Reasoning About Continuous Dynamics (J M Davoren & R P Gore)
  From Bisimulation Quantifiers to Classifying Toposes (S Ghilardi & M Zawadowski)
  Normal Products of Modal Logics (Y Hasimoto)
  A Tableau Algorithm for the Clique Guarded Fragment (C Hirsch & S Tobies)
  The Complexity of Reasoning with Boolean Modal Logics (C Lutz & U Sattler)
  Outline of a Logic of Action (K Segerberg)
  Belief, Names, and Modes of Presentation (R Ye & M Fitting)
  and other papers

Readership: Researchers and advanced students in mathematical logic, philosophical logic, computer science logic, artificial intelligence and formal linguistics.

420pp (approx.) Pub. date: Scheduled Fall 2002
ISBN 981-238-179-1

edited by B L J Braaksma, G K Immink, M van der Put & J Top (University of Groningen, The Netherlands)

DIFFERENTIAL EQUATIONS AND THE STOKES PHENOMENON
Groningen, The Netherlands 28 - 30 May 2001

This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen. It contains expanded versions of most of the lectures given at the workshop. To a large extent, both the workshop and the book may be regarded as a sequel to a conference held in Groningen in 1995 which resulted in the book The Stokes Phenomenon and Hilbert's 16th Problem (B L J Braaksma, G K Immink and M van der Put, editors), also published by World Scientific (1996).
Both books offer a snapshot concerning the state of the art in the areas of differential, difference and q-difference equations. Apart from the asymptotics of solutions, Painleve properties and the algebraic theory, new topics addressed in the second book include arithmetic theory of linear equations, and Galois theory and Lie symmetries of nonlinear differential equations.

Contents:

• Toward p-Adic Stokes Phenomena? Singularities of p-Adic Differential Equations (Y Andre)
  Moduli Spaces for Linear Differential Equations (M Berkenbosch)
  Factorization of Differential Operators and Application to Differential Galois Theory (M Bouffet)
  Movable Singularities of Solutions of Nonlinear Differential and Difference Equations and the Painleve Property (O Costin & M Kruskal)
  On a Conjecture of Sophus Lie (J Draisma)
  A Tale of Three Structures: the Arithmetic of Multizetas, the Analysis of Singularities, the Lie Algebra ARI (J Ecalle)
  The Differential Intermediate Value Theorem (J van der Hoeven)
  Integrable Systems and Number Theory (P H van der Kamp et al.)
  Towards the Galois Groupoid of Nonlinear O D E (F Loray)
  Galois Theory of q-Difference Equations: The "Analytical" Approach (J Sauloy)
  "Exact WKB Integration" of the Polynomial 1D Schrodinger (or Sturm?Liouville) Problem (A Voros)
  Une Sommation Discrete Pour des Equations Aux q-Difference Lineaires et a Coefficients Analytiques: Theorie Generale et Exemples (C Zhang)

Readership: Graduate students, academics and researchers in analysis & differential equations, approximation theory and mathematical physics.

350pp (approx.) Pub. date: Scheduled Winter 2002
ISBN 981-238-172-4

David B Cook (University of Sheffield, UK)

PROBABILITY AND SCHRODINGER'S MECHANICS

This book addresses some of the problems of interpreting Schrodinger's mechanics ? the most complete and explicit theory falling under the umbrella of "quantum theory". The outlook is materialist ("realist") and stresses the development of Schrodinger's mechanics from classical theories and its close connections with (particularly) the Hamilton?Jacobi theory. Emphasis is placed on the concepts and use of the modern objective (measure-theoretic) probability theory. The work is free from any mention of the bearing of Schrodinger's mechanics on God, his alleged mind or, indeed, minds at all. The author has taken the naive view that this mechanics is about the structure and dynamics of atomic and sub-atomic systems since he has been unable to trace any references to minds, consciousness or measurements in the foundations of the theory.

Contents:

• Preliminaries:
  Orientation and Outlook
  Probabilities:
  Simple Probabilities
  A More Careful Look at Probabilities
  Classical Mechanics:
  The Hamilton?Jacobi Equation
  Angular Momentum
  Schrodinger's Mechanics:
  Prelude: Particle Diffraction
  The Genesis of Schrodinger's Mechanics
  The Schrodinger Equation
  Identities: Momenta and Dynamical Variables
  Interpretation from Applications:
  The Quantum Kepler Problem
  The Harmonic Oscillator and Fields
  Perturbation Theory and Epicycles
  Formalisms and Hidden Variables
  Disputes and Paradoxes:
  Measurement at the Microscopic Level
  Paradoxes
  Beyond Schrodinger's Mechanics?

Readership: Physical scientists interested in quantum theory, philosophers of science, and students of scientific philosophy.

300pp (approx.) Pub. date: Scheduled Winter 2002
ISBN 981-238-191-0