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#### HENSTOCK-KURZWEIL INTEGRATION ON EUCLIDEAN SPACES

World Scientific Publishing Company 2011; US$ 133.00The 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$ 209.00The 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...

#### The Integral

Morgan & Claypool Publishers 2011; US$ 35.00This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral,... more...

#### Introduction to Measure Theory and Integration

Springer 2012; US$ 29.95This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting... more...

#### Young Measures and Compactness in Measure Spaces

De Gruyter 2012; US$ 182.00Many 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...

#### Fractional Calculus

World Scientific Publishing Company 2012; US$ 181.00The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering.... more...

#### Ergodic Theorems

De Gruyter 1985; US$ 210.00Ergodic Theorems (De Gruyter Studies in Mathematics). more...