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- Springer Basel 2011; US$ 129.00
This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non-commuting linear operators. more...
- De Gruyter 2002; US$ 266.00
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$ 56.00
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$ 60.00
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...
- CRC Press 2002; US$ 159.95
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...
- CRC Press 2006; US$ 125.95
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 New York 2008; US$ 259.00
This volume, marking the centenary of S.L. Sobolev?s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev. more...
- 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...
- World Scientific Publishing Company 1991; US$ 57.00
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 New York 2008; US$ 259.00
Sobolev spaces are the universal language of partial differential equations and mathematical analysis. This volume presents new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics. more...