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#### Theory of Uniform Approximation of Functions by Polynomials

De Gruyter 2008; US$ 126.00A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions. more...

#### Optimal Domain and Integral Extension of Operators

Springer 2008; US$ 139.00This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators... more...

#### The Bartle-Dunford-Schwartz Integral

Springer 2008; US$ 139.00This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either 0, infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreover, the domain of the vector measure does not have to be a sigma-algebra: it can also be a delta-ring.... more...

#### Geometric Qp Functions

Springer 2006; US$ 69.99Documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on the development based on interaction between geometric function and measure theory and other branches of mathematical analysis. more...

#### The History of Approximation Theory

Springer 2007; US$ 109.00Traces the history of approximation theory from Leonhard Euler's cartographic investigations at the end of the 18th century to the early 20th century contributions of Sergei Bernstein in defining a branch of function theory. Demonstrating technical control of the underlying mathematics, it focuses on the results for the development of the theory. more...

#### Variational Analysis and Applications

Springer 2007; US$ 429.00Discusses a discipline, variational analysis, which contains the calculus of variations, differential calculus, optimization, and variational inequalities. To such branches of mathematics, variational analysis provides a uniform theoretical base that represents a tool for the applications. more...

#### Approximation Problems in Analysis and Probability

Elsevier Science 2011; US$ 235.00This is an exposition of some special results on analytic or C ? -approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C ? -approximation of functions... more...

#### Trees and Hills

Elsevier Science 2011; US$ 240.00Trees and Hills: Methodology for Maximizing Functions of Systems of Linear Relations more...

#### Geometric Integration Theory

Springer 2008; US$ 69.95Introduces geometric measure theory through the notion of currents. This book provides background for the student and discusses techniques that are applicable to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics. more...

#### Gradient Flows

Springer 2008; US$ 69.95Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this book focuses on gradient flows in metric spaces. It covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance. more...