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Integrals, Generalized

Most popular at the top

  • Optimal Domain and Integral Extension of Operatorsby S. Okada; Werner J. Ricker; Enrique A. Sanchez Perez

    Springer 2008; US$ 139.00

    This 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 Integralby Thiruvaiyaru V. Panchapagesan

    Springer 2008; US$ 139.00

    This 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 Functionsby Jie Xiao

    Springer 2006; US$ 69.99

    Documents 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...

  • Geometric Integration Theoryby Steven G. Krantz; Harold R. Parks

    Springer 2008; US$ 69.95

    Introduces 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 Flowsby Nicola Gigli; Giuseppe Savaré

    Springer 2008; US$ 69.95

    Devoted 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...

  • Geometric Measure Theory and Minimal Surfacesby Enrico Bombieri

    Springer 2011; US$ 49.95

    W.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 SPACESby Tuo Yeong Lee

    World Scientific Publishing Company 2011; US$ 133.00

    The 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 MEASURESby M. M. Rao

    World Scientific Publishing Company 2011; US$ 209.00

    The 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 Spacesby Antonio Boccuto; Beloslav Riecan; Marta Vrábelová

    Bentham Science Publishers 2010; US$ 69.00

    This 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 Integrationby Luigi Ambrosio; Giuseppe Prato; Andrea Mennucci

    Springer 2012; US$ 29.95

    This 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...