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- 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...
- De Gruyter 2002; US$ 252.00
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings,... more...
- Cambridge University Press 1996; US$ 52.00
Both experts and newcomers alike will welcome this fresh approach to the distribution of the eigenvalues of differential operators. more...
- 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...
- Taylor and Francis 2002; 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...
- Taylor and Francis 2006; 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...
- 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...
- Elsevier Science 2014; US$ 72.95
Self-Validating Numerics for Function Space Problems more...
- World Scientific Publishing Company 1991; US$ 92.00
This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered... more...
- 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...