### Envelopes and Sharp Embeddings of Function Spaces

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This theory originates from…

Hardback – 2006-09-21

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Mathematical Methods of Many-Body Quantum Field Theory

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of…

Hardback – 2004-08-29

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Quantum Integrable Systems

The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists…

Paperback – 2004-01-27

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Analytic Hilbert Modules

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to…

Hardback – 2003-03-25

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Recent developments in the Navier-Stokes problem

The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the…

Hardback – 2002-04-25

CRC Press*Chapman & Hall/CRC Research Notes in Mathematics Series*### Second Order Elliptic Integro-Differential Problems

The Green function has played a key role in the analytical approach that in recent years has led to important developments in the study of stochastic processes with jumps. In this Research Note, the authors-both regarded as leading experts in the field- collect several useful results derived from…

Paperback – 2002-02-19

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### The Structure of Complex Lie Groups

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.The Structure of Complex Lie Groups addresses this need.…

Paperback – 2001-08-30

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Integral Theorems for Functions and Differential Forms in C(m)

The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This…

Paperback – 2001-08-02

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Point Sources and Multipoles in Inverse Scattering Theory

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering…

Paperback – 2001-05-29

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Spectral Theory and Nonlinear Functional Analysis

This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. It features the construction of an optimal algebraic/analytic invariant for…

Paperback – 2001-03-27

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Morse Theory for Hamiltonian Systems

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and results that,…

Paperback – 2001-03-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Further Advances in Twistor Theory, Volume III

#### Curved Twistor Spaces

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory.…

Paperback – 2001-03-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Topological Quantum Field Theories from Subfactors

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is…

Paperback – 2000-12-06

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Harmonic Analysis and Integral Geometry

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many…

Paperback – 2000-09-06

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### An Atlas of Edge-Reversal Dynamics

An Atlas Of Edge-Reversal Dynamics is the first in-depth account of the graph dynamics system SER (Scheduling by Edge Reversal), a powerful distributed mechanism for scheduling agents in a computer system. The study of SER draws on strong motivation from several areas of application, and reveals…

Paperback – 2000-08-22

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Numerical Analysis 1999

Of considerable importance to numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis, featuring eminent analysts and current topics. The papers cover everything from partial differential equations to linear algebra and approximation…

Paperback – 2000-03-26

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Integral Methods in Science and Engineering

The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solution of mathematical problems from various physical domains by integral methods in conjunction with various approximation schemes. Written by…

Paperback – 2000-03-22

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Analytical and Computational Methods in Scattering and Applied Mathematics

Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He…

Paperback – 2000-03-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Inverse Problems and Related Topics

Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse…

Paperback – 2000-02-27

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Methods of Noncommutative Geometry for Group C*-Algebras

The description of the structure of group C*-algebras is a difficult problem, but relevant to important new developments in mathematics, such as non-commutative geometry and quantum groups. Although a significant number of new methods and results have been obtained, until now they have not been…

Paperback – 1999-12-05

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Harmonic Morphisms, Harmonic Maps and Related Topics

The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic…

Paperback – 1999-10-12

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Lie Algebraic Methods in Integrable Systems

Over the last thirty years, the subject of nonlinear integrable systems has grown into a full-fledged research topic. In the last decade, Lie algebraic methods have grown in importance to various fields of theoretical research and worked to establish close relations between apparently unrelated…

Paperback – 1999-09-27

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Mathematical Aspects of Boundary Element Methods

Boundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists,…

Paperback – 1999-08-26

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Real and Complex Singularities

The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that…

Paperback – 1999-08-25

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Reflecting Stochastic Differential Equations with Jumps and Applications

Many important physical variables satisfy certain dynamic evolution systems and can take only non-negative values. Therefore, one can study such variables by studying these dynamic systems. One can put some conditions on the coefficients to ensure non-negative values in deterministic cases. However…

Paperback – 1999-08-04

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Partial Differential Equations

#### Theory and Numerical Solution

As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the…

Paperback – 1999-07-22

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Calculus of Variations and Optimal Control

#### Technion 1998

The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in science and technology continue to hold great interest and keep it an active area of research. These two volumes contain the refereed proceedings of the international conference on…

Paperback – 1999-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Calculus of Variations and Differential Equations

The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in science and technology continue to hold great interest and keep it an active area of research. These two volumes contain the refereed proceedings of the international conference on…

Paperback – 1999-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Free Boundary Problems

#### Theory and Applications

Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work…

Paperback – 1999-06-24

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Nonlinear Differential Equations

Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed…

Paperback – 1999-05-19

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Covers and Envelopes in the Category of Complexes of Modules

Over the last few years, the study of complexes has become increasingly important. To date, however, most of the research is scattered throughout the literature or available only as lecture notes. Covers and Envelopes in the Category of Complexes of Modules collects these scattered notes and…

Paperback – 1999-05-10

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Bivariant Periodic Cyclic Homology

Recent work by Cuntz and Quillen on bivariant periodic cyclic homology has caused quite a revolution in the subject. In this self-contained exposition, the author's purpose is to understand the functorial properties of the Cuntz-Quillen theory, which motivaties his explorations of what he calls…

Paperback – 1999-04-29

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Nonlinear Theory of Generalized Functions

Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A…

Paperback – 1999-03-15

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Systems Modelling and Optimization Proceedings of the 18th IFIP TC7 Conference

Top researchers in optimization and control from around the world gathered in Detroit for the 18th annual IFIP TC7 Conference on Systems Modelling and Optimization held in July 1997. The papers offered in this volume were selected from among the 250 plenary, invited, and contributed works presented…

Paperback – 1999-02-01

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Control of Nonlinear Differential Algebraic Equation Systems with Applications to Chemical Processes

The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject. Developing steadily over the last few years, it has generated growing interest inspired by its engineering applications and by advances in the feedback control of nonlinear ordinary…

Paperback – 1999-01-31

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Stability, Instability, and Direct Integrals

In this masterful study, the author sets forth a unique treatment of the stability and instability of the periodic equilibria of partial differential equations as they relate to the notion of direct integrals. His results, and to a large extent his methods are new. Although he aims this work at…

Paperback – 1999-01-28

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Combinatorial Designs and their Applications

The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in…

Paperback – 1999-01-28

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Semigroups Associated with Dissipative Systems

Motivated by applications to control theory and to the theory of partial differential equations (PDE's), the authors examine the exponential stability and analyticity of C0-semigroups associated with various dissipative systems. They present a unique, systematic approach in which they prove…

Paperback – 1999-01-28

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Elliptic Operators, Topology, and Asymptotic Methods, Second Edition

Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined…

Paperback – 1999-01-05

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Dirac Operators in Analysis

Clifford analysis has blossomed into an increasingly relevant and fashionable area of research in mathematical analysis-it fits conveniently at the crossroads of many fundamental areas of research, including classical harmonic analysis, operator theory, and boundary behavior. This book presents a…

Hardback – 1999-01-05

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Generalized Functions, Operator Theory, and Dynamical Systems

Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical…

Paperback – 1998-12-22

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Advances in Dual Integral Equations

The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made…

Paperback – 1998-12-17

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Nonlinear Partial Differential Equations and Their Applications

#### Collge de France Seminar Volume XVIII

This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including…

Hardback – 1998-08-14

CRC Press*Chapman & Hall/CRC Research Notes in Mathematics Series*### Topics in Random Polynomials

Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented…

Hardback – 1998-08-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Advanced Topics in Theoretical Fluid Mechanics

This volume consists of contributions based on a series of lectures delivered at the Fifth Winter School on Mathematical Theory in Fluid Mechanics, held in Paseky nad Jizerou, Czech Republic. The contributions are written by the main lecturers of the school and cover several significant topics in…

Hardback – 1998-08-14

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Mathematical Methods in Scattering Theory and Biomedical Technology

The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers…

Hardback – 1998-06-10

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Linear Theory of Colombeau Generalized Functions

Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential…

Hardback – 1998-05-19

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Navier-Stokes Equations

#### Theory and Numerical Methods

This volume contains the texts of selected lectures delivered at the "International Conference on Navier-Stokes Equations: Theory and Numerical Methods," held during 1997 in Varenna, Lecco (Italy). In recent years, the interest in mathematical theory of phenomena in fluid mechanics has increased,…

Hardback – 1998-05-19

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Progress in Holomorphic Dynamics

In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent…

Hardback – 1998-05-19

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*### Strongly Irreducible Operators on Hilbert Space

This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here…

Hardback – 1998-04-30

Chapman and Hall/CRC*Chapman & Hall/CRC Research Notes in Mathematics Series*