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Function Spaces
De Gruyter 2012; US$ 196.00This 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 Calculus
Springer 2011; US$ 79.99The 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 III
Springer 2008; US$ 209.99Dedicated 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 I
Springer 2008; US$ 209.99Dedicated 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 II
Springer 2008; US$ 209.99Sobolev 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 Spaces
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2007; US$ 54.99After 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 Spaces
Taylor & Francis 2006; US$ 107.95Presenting the detailed account of the theory of growth and continuity envelopes in function spaces, this book introduces the concept of classical spaces before moving on to examine more general spaces. It includes background material and numerous concrete examples, and is useful for graduate students and researchers in functional analysis. more...
Theory of Function Spaces III
Springer 2006; US$ 149.99Deals 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...
Isometries on Banach Spaces
CRC Press 2002; US$ 139.95Focusing on explicit, canonical-form characterizations of isometries on Banach spaces, this monograph explores the topics in the context of classical function spaces. Designed for both experts and beginners in the field, it presents a history of the subject, the methods and results. more...
The Infinite-Dimensional Topology of Function Spaces
Elsevier Science 2002; US$ 79.95In 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...
