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Function spaces

  • Differential Operators on Spaces of Variable Integrabilityby David E. Edmunds; Jan Lang; Osvaldo Méndez

    World Scientific Publishing Company 2014; US$ 75.00

    The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting... more...

  • Self-Validating Numerics for Function Space Problemsby Edgar W. Kaucher; Willard L. Miranker; Werner Rheinboldt

    Elsevier Science 2014; US$ 72.95

    Self-Validating Numerics for Function Space Problems describes the development of computational methods for solving function space problems, including differential, integral, and function equations. This seven-chapter text highlights three approaches, namely, the E-methods, ultra-arithmetic, and computer arithmetic. After a brief overview of the... more...

  • Function Spaces, 1by Lubo? Pick; Alois Kufner; Oldrich John; Svatopluk Fucík

    De Gruyter 2012; US$ 196.00

    This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as... more...

  • Noncommutative Functional Calculusby Fabrizio Colombo; Irene Sabadini; Daniele Carlo Struppa

    Springer 2011; US$ 129.00

    The book contains recent results concerning a functional calulus for n-tuples of not necessarily commuting linear operators and for quaternionic linear operators. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra the so-called slice monogenic functions which are carefully described in the... more...

  • Sobolev Spaces in Mathematics IIIby Victor Isakov

    Springer 2008; US$ 259.00

    Dedicated to the centenary of S L Sobolev, this title presents the results on some important problems of mathematical physics, describing, in particular, phenomena of superconductivity with random fluctuations, wave propagation, perforated domains and bodies with defects of different types, and spectral asymptotics for Dirac energy. more...

  • Sobolev Spaces In Mathematics Iby Vladimir Maz?ya

    Springer 2008; US$ 259.00

    Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work on a theorem of functional analysis, this title discusses such topics as: Sobolev-type inequalities on manifolds and metric measure spaces, and traces, inequalities with weights. more...

  • Sobolev Spaces in Mathematics IIby Vladimir Maz'ya

    Springer 2008; US$ 259.00

    Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. This title includes such topics as: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, and inequalities in Sobolev-Lorentz spaces. more...

  • An Introduction to Sobolev Spaces and Interpolation Spacesby Luc Tartar

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2007; US$ 69.95

    After publishing an introduction to the Navier???Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible... more...

  • Envelopes and Sharp Embeddings of Function Spacesby Dorothee D. Haroske

    CRC Press 2006; US$ 125.95

    Preface DEFINITION, BASIC PROPERTIES, AND FIRST EXAMPLES Introduction Preliminaries, Classical Function Spaces Non-increasing rearrangements Lebesgue and Lorentz spaces Spaces of continuous functions Sobolev spaces Sobolev?s embedding theorem The Growth Envelope Function E G Definition and basic properties Examples:... more...

  • Theory of Function Spaces IIIby Hans Triebel

    Springer 2006; US$ 189.00

    Deals with the theory of function spaces and with the developments related to the numerous applications of the theory of function spaces to some neighbouring areas such as numerics, signal processing and fractal analysis. This book discusses typical building blocks as (non-smooth) atoms, quarks, wavelet bases and wavelet frames. more...