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Chapman & Hall/CRC Research Notes in Mathematics Series


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Envelopes and Sharp Embeddings of Function Spaces

Envelopes and Sharp Embeddings of Function Spaces

1st Edition

Dorothee D. Haroske
September 22, 2006

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...

Mathematical Methods of Many-Body Quantum Field Theory

Mathematical Methods of Many-Body Quantum Field Theory

1st Edition

Detlef Lehmann
August 30, 2004

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...

Quantum Integrable Systems

Quantum Integrable Systems

1st Edition

Asesh Roy Chowdhury, Aninlya Ghose Choudhury
January 28, 2004

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...

Analytic Hilbert Modules

Analytic Hilbert Modules

1st Edition

Xiaoman Chen, Kunyu Guo
March 26, 2003

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...

Recent developments in the Navier-Stokes problem

Recent developments in the Navier-Stokes problem

1st Edition

Pierre Gilles Lemarie-Rieusset
April 26, 2002

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...

Second Order Elliptic Integro-Differential Problems

Second Order Elliptic Integro-Differential Problems

1st Edition

Maria Giovanna Garroni, Jose Luis Menaldi
February 20, 2002

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...

The Structure of Complex Lie Groups

The Structure of Complex Lie Groups

1st Edition

Dong Hoon Lee
August 31, 2001

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....

Integral Theorems for Functions and Differential Forms in C(m)

Integral Theorems for Functions and Differential Forms in C(m)

1st Edition

Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
August 03, 2001

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...

Point Sources and Multipoles in Inverse Scattering Theory

Point Sources and Multipoles in Inverse Scattering Theory

1st Edition

Roland Potthast
May 30, 2001

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...

Spectral Theory and Nonlinear Functional Analysis

Spectral Theory and Nonlinear Functional Analysis

1st Edition

Julian Lopez-Gomez
March 28, 2001

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...

Morse Theory for Hamiltonian Systems

Morse Theory for Hamiltonian Systems

1st Edition

Alberto Abbondandolo
March 15, 2001

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,...

Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces

Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces

1st Edition

L.J. Mason, P.Z. Kobak, L. Hughston, K. Pulverer
March 15, 2001

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....

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