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#### Fractional Calculus

World Scientific Publishing Company 2014; US$ 127.00The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area. The contents are devoted to the application of fractional calculus to physical problems.... more...

#### Measure theory and Integration

Elsevier Science 2003; US$ 89.95This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail.... more...

#### Multivariate Approximation

World Scientific Publishing Company 1993; US$ 151.00Contents: Fast Algorithms for Simultaneous Polynomial Approximation (G Baszenski & M Tasche); α-Spline of Smoothing for Correlated Errors in Dimension Two (M Bozzini & L Lenarduzzi); New Developments in the Theory of Radial Basis Function Interpolation (M D Buhmann); Realization of Neural Networks with One Hidden Layer (C K Chui... more...

#### Approximation by Complex Bernstein and Convolution Type Operators

World Scientific Publishing Company 2009; US$ 167.00The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein,... more...

#### Multi-parameter Singular Integrals. (AM-189)

Princeton University Press 2014; US$ 75.00This 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$ 109.00This 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$ 129.00The 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...

#### Approximation Theory XIV: San Antonio 2013

Springer International Publishing 2014; US$ 169.00This 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...

#### Integral and Measure

Wiley 2014; US$ 130.00This 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...

#### Weakly Wandering Sequences in Ergodic Theory

Springer Japan 2014; US$ 109.00The 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...