rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Potential Analysis of Stable Processes and its Extensions
  name:
    name part: Bogdan, Krzysztof.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Byczkowski, Tomasz.
    role:
      role term: author.
  name:
    name part: Kulczycki, Tadeusz.
    role:
      role term: author.
  name:
    name part: Ryznar, Michal.
    role:
      role term: author.
  name:
    name part: Song, Renming.
    role:
      role term: author.
  name:
    name part: Vondracek, Zoran.
    role:
      role term: author.
  name:
    name part: Graczyk, Piotr.
    role:
      role term: editor.
  name:
    name part: Stos, Andrzej.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 194 p. 13 illus. online resource.
  abstract: Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schroedinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.
  table of contents: Boundary Potential Theory for Schr#x00F6;dinger Operators Based on Fractional Laplacian -- Nontangential Convergence for #x03B1;-harmonic Functions -- Eigenvalues and Eigenfunctions for Stable Processes -- Potential Theory of Subordinate Brownian Motion.
  note: by Krzysztof Bogdan, Tomasz Byczkowski, Tadeusz Kulczycki, Michal Ryznar, Renming Song, Zoran Vondracek ; edited by Piotr Graczyk, Andrzej Stos.
  subject:
    topic: Mathematics
  subject:
    topic: Potential theory (Mathematics)
  subject:
    topic: Mathematical models
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Potential Theory
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1980
  identifier: 9783642021411
  identifier: http://dx.doi.org/10.1007/978-3-642-02141-1
  record info:
    record creation date: 100301
    record change date: 20151110091126.0
    record identifier: 978-3-642-02141-1