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#### Multi-parameter Singular Integrals. (AM-189), Volume I

Princeton University Press 2014; US$ 75.00 US$ 68.25This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main... more...

#### Overconvergence in Complex Approximation

Springer New York 2014; US$ 100.75This monograph presents quantitative overconvergence results in complex approximation. It generalizes and extends the results for certain cases of the complex q-Bernstein operators. Each chapter includes notes and open problems. more...

#### Invariant Probabilities of Transition Functions

Springer International Publishing 2014; US$ 95.15The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems,... more...

#### Integral and Measure

Wiley 2014; US$ 134.00 US$ 116.13This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical... more...

#### Approximation Theory XIV: San Antonio 2013

Springer International Publishing 2014; US$ 111.95This volume developed from papers presented at the international conference Approximation Theory XIV, held April 7–10, 2013 in San Antonio, Texas. The proceedings contains surveys by invited speakers, covering topics such as splines on non-tensor-product meshes, Wachspress and mean value coordinates, curvelets and shearlets, barycentric interpolation,... more...

#### Weakly Wandering Sequences in Ergodic Theory

Springer Japan 2014; US$ 83.96The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure. This monograph studies in a systematic way... more...

#### Advances in Computational Mathematics: New Delhi, India

World Scientific Publishing Company 1994; US$ 81.00 US$ 73.71Contents: Finite Elements for Kirchhoff and Mindlin-Reissner Plates (D Braess); A Multiscale Method for the Double Layer Potential Equation on a Polyhedron (W Dahmen et al); Shape Preserving GC 2 -Rational Cubic Splines (A Bhatt et al); Affine Operators and Frames of Multivariate Wavelets (C K Chui & X L Shi); Compressed Representations of Curves... more...

#### Geometric Measure Theory

Elsevier Science 2014; US$ 31.95Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory. This book presents a few fundamental arguments and a superficial discussion of the regularity theory. Organized into 12 chapters, this book begins with an overview of the purpose and fundamental concepts of geometric measure... more...

#### Asymptotic Approximations of Integrals

Elsevier Science 2014; US$ 93.95Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also... more...

#### Measure, Integration, and Functional Analysis

Elsevier Science 2014; US$ 72.95Measure, Integration, and Functional Analysis deals with the mathematical concepts of measure, integration, and functional analysis. The fundamentals of measure and integration theory are discussed, along with the interplay between measure theory and topology. Comprised of four chapters, this book begins with an overview of the basic concepts of the... more...