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Provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation... Læs mere
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Various imperfections in existing market systems prevent the free market from serving as a truly efficient allocation mechanism, but optimization of economic activities provides an effective remedial measure.
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This book explores several unsolved problems in coding theory. Employing Sage - a free open-source mathematics program - to illustrate ideas, the book can serve as supplementary reading material in a graduate course on coding theory, or as a self-study text.
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This self-contained textbook provides the basic, abstract tools used in nonlinear analysis. The text discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, and more.
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This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts:... Læs mere
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As this approach to the geometry of a compact Riemann surface did not exist in book form, I took this book as an occasion to carry out the geometry in detail, and so it grew by several chapters.
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This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.
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Concerned with the interplay between the theory of operator semigroups and spectral theory, this self-contained text first discusses the basics of operator semigroups. It then explores generalizations of spectral theory's connection to operator semigroups.
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Initially we planned 1 including a detailed proof in the remaining case of manifolds fibered over § as well. However, since Otal's book [Ota96] (which treats the fiber bundle case) became available, only a sketch of the proof in the fibered case will be given here.
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This textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other than Rn.
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"Gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject." --Mathematical Reviews