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Chapman & Hall/CRC Research Notes in Mathematics Series

Series Editor: Alan Jeffrey, Haïm Brezis, Ronald G. Douglas

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1-10 of 141 results in Chapman & Hall/CRC Research Notes in Mathematics Series
  1. Envelopes and Sharp Embeddings of Function Spaces

    By Dorothee D. Haroske

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published September 21st 2006 by Chapman and Hall/CRC

  2. Mathematical Methods of Many-Body Quantum Field Theory

    By Detlef Lehmann

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published August 29th 2004 by Chapman and Hall/CRC

  3. Quantum Integrable Systems

    By Asesh Roy Chowdhury, Aninlya Ghose Choudhury

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published January 27th 2004 by Chapman and Hall/CRC

  4. Analytic Hilbert Modules

    By Xiaoman Chen, Kunyu Guo

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published March 25th 2003 by Chapman and Hall/CRC

  5. Recent developments in the Navier-Stokes problem

    By Pierre Gilles Lemarie-Rieusset

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published April 25th 2002 by CRC Press

  6. Functional Methods in Differential Equations

    By Veli-Matti Hokkanen, Gheorghe Morosanu

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    In recent years, functional methods have become central to the study of theoretical and applied mathematical problems. As demonstrated in this Research Note, functional methods can not only provide more generality, but they can also unify results and techniques and lead to better results than those...

    Published April 25th 2002 by Chapman and Hall/CRC

  7. Second Order Elliptic Integro-Differential Problems

    By Maria Giovanna Garroni, Jose Luis Menaldi

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published February 19th 2002 by Chapman and Hall/CRC

  8. The Structure of Complex Lie Groups

    By Dong Hoon Lee

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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....

    Published August 30th 2001 by Chapman and Hall/CRC

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

    By Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published August 2nd 2001 by Chapman and Hall/CRC

  10. Point Sources and Multipoles in Inverse Scattering Theory

    By Roland Potthast

    Series: Chapman & Hall/CRC Research Notes in Mathematics Series

    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...

    Published May 29th 2001 by Chapman and Hall/CRC

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