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Function spaces

  • Function Spacesby Alois Kufner; Lubo? Pick; Svatopluk Fucík; Oldrich John

    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 partial differential... more...

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

    Springer 2011; US$ 99.00

    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...

  • Isometries on Banach Spacesby Richard J. Fleming; James E. Jamison

    Taylor and Francis 2010; US$ 154.95

    Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric... more...

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

    Taylor and Francis 2010; US$ 119.95

    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 the classical result of the Sobolev embedding theorem,... 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...

  • 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...

  • The Infinite-Dimensional Topology of Function Spacesby J. van Mill

    Elsevier Science 2002; US$ 101.00

    In this book we study function spaces of low Borel complexity. Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and self-contained... more...