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Integrals, Generalized

Most popular at the top

  • The Bartle-Dunford-Schwartz Integralby Thiruvaiyaru V. Panchapagesan

    Birkhäuser Basel 2008; US$ 139.00

    This 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 Operatorsby S. Okada; Werner J. Ricker; Enrique A. Sánchez Pérez

    Birkhäuser Basel 2008; US$ 139.00

    Operator 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 Functionsby Jie Xiao

    Birkhäuser Basel 2006; US$ 69.99

    This 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 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...

  • Measure and Integrationby Leonard F. Richardson

    Wiley 2009; US$ 112.00

    A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending... more...

  • Geometric Measure Theory and Minimal Surfacesby E. Bombieri

    Springer Berlin Heidelberg 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...


    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...


    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...