Kategoria BISAC: Mathematics >> Functional Analysis

This volume comprises the proceedings of the International Workshop on Operator Theory and Its Applications held at the University of Connecticut in July 2005.

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrodinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods.

The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well...

Les Elements de mathematique de Nicolas BOURBAKI ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements.

Ce premier volume du Livre d Integration, sixieme Livre du traite, est consacre aux fondements de la theorie de l integration, il comprend les chapitres:

1. Inegalites de convexite;
2. Espaces de Riesz;
3. Mesures sur les espaces localement compacts;
4. Prolongement d une mesure. Espaces Lp.

Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements.

Ce sixieme chaptire du Livre d'Integration, sixieme Livre des elements de mathematique, etend la notion d'integration a des mesure a valeurs dans des espaces vectoriels de Hausdorff localement convexes.

Il contient egalement une note historique.

Ce volume est une reimpression de l'edition de 1959.

The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.

Research articles and surveys from world-recognized mathematicians cover large areas in Analysis where the contributions of Prof. Maz'ya are fundamental, influential, and/or pioneering. Among more than 25 monographs and 450 research papers by V. Maz'ya, one can find deep results predetermining the further development of very diverse topics, which is reflected in the collected papers. Recent advantages in the theory of Sobolev spaces are presented. Hardy-Sobolev-Maz'ya inequalities, Maz'ya isocapacitary inequalities, isoperimetric inequalities, sharp constants, extension operators are...

The topics of this volume are diverse, but all of them are related to a huge area in analysis and applications where remarkably deep results and original approaches of Professor Maz'ya play a fundamental role. World-recognized experts present their new results covering, in particular, the following topics: Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems, the Lp-dissipativity connected with the Lp-contractivity of the generated semigroups, optimal control of a biharmonic obstacle problem sharp bilateral bounds of Green's function for the...

New results, presented from world-recognized experts, are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs. In particular, the following topics are covered: semilinear elliptic equations with exponential monlinearity, stationary Navier-Stokes equations on Lipschitz domains in Riemannian manifolds, Stokes equations in a thin cylindrical elastic tube the Neumann problem for 4th order linear partial differential operators the Stokes system in convex polyhedra, periodic...