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#### The Bartle-Dunford-Schwartz Integral

Birkhäuser Basel 2008; US$ 149.00This volume is a thorough and comprehensive treatise on vector measures, treating the vectorial Radon integration in detail. It explores an interplay between, on the one side, linear operators, transferring real (complex) functions onto elements of locally convex Hausdorff spaces, and vector-valued measures, on the other. The book contains not only... more...

#### Optimal Domain and Integral Extension of Operators

Birkhäuser Basel 2008; US$ 159.00Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces... more...

#### Geometric Qp Functions

Birkhäuser Basel 2006; US$ 69.99This book documents the rich structure of the holomorphic Q function spaces which are geometric because they transform naturally under conformal mappings, emphasizing recent development based on interaction between geometric function and measure theory, and other branches of mathematical analysis. more...

#### Geometric Integration Theory

Birkhäuser Boston 2008; US$ 79.99This self-contained and accessible textbook introduces geometric measure theory through the notion of currents. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. more...

#### Geometric Measure Theory and Minimal Surfaces

Springer Berlin Heidelberg 2011; US$ 49.95W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational... more...

#### HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACES

World Scientific Publishing Company 2011; US$ 82.00The Henstock–Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Per more...

#### RANDOM AND VECTOR MEASURES

World Scientific Publishing Company 2011; US$ 129.00The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. The spaces can be Banach or Frechet types. Several stationary aspects and related processes are analyzed whilst numerous new results are included and many research avenues are opened... more...

#### Kurzweil – Henstock Integral in Riesz Spaces

Bentham Science Publishers 2010; US$ 69.00This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. First, it can be understood as an introductory textbook to the Kurzweil-Henstock integral... more...

#### Introduction to Measure Theory and Integration

Scuola Normale Superiore 2012; US$ 29.95Based on an undergraduate course taught by the authors, this book puts Lebesgue's Euclidean space theory into a more general context and presents the basic applications to Fourier series, calculus and real analysis. Includes exercises with detailed solutions. more...

#### Young Measures and Compactness in Measure Spaces

De Gruyter 2012; US$ 210.00Many problems in science can be formulated in the language of optimization theory, in which case an optimal solution or the best response to a particular situation is required. In situations of interest, such classical optimal solutions are lacking, or at least, the existence of such solutions is far from easy to prove. So, non-convex... more...