Skip to main content
Elsevier

North Holland

  • Nuclear and Conuclear Spaces

    • 1st Edition
    • Volume 52
    • H. Hogbe-Nlend + 1 more
    • English

  • Weighted Norm Inequalities and Related Topics

    • 1st Edition
    • Volume 116
    • J. García-Cuerva + 1 more
    • English
    The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.

  • Symmetric Banach Manifolds and Jordan C<SUP>*</SUP>-Algebras

    • 1st Edition
    • Volume 104
    • H. Upmeier
    • English
    This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

  • Stochastic Control by Functional Analysis Methods

    • 1st Edition
    • Volume 11
    • A. Bensoussan
    • English

  • Applications of Variational Inequalities in Stochastic Control

    • 1st Edition
    • Volume 12
    • A. Bensoussan + 1 more
    • English

  • Topological Algebras

    Selected Topics
    • 1st Edition
    • Volume 124
    • A. Mallios
    • English
    This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results.The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.

  • Real Elliptic Curves

    • 1st Edition
    • Volume 54
    • N.L. Alling
    • English

  • From Associations to Structure

    • 1st Edition
    • Volume 6
    • K.V. Wilson
    • English
    Wilson's book proposes an associationistic form of psychological theory which is opposed to the more extreme structuralist claims. It brings together a relatively novel combination of topics from psychology, computational linguistics and artificial intelligence which support a viable associationistic position.

  • Convex Cones

    • 1st Edition
    • Volume 56
    • B. Fuchssteiner + 1 more
    • English

  • Elementary Introduction to New Generalized Functions

    • 1st Edition
    • Volume 113
    • J.F. Colombeau
    • English
    The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

Browse by Publisher