Classical Potential Theory and Its Probabilistic Counterpart - Grand Format

Edition en anglais

Note moyenne 
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived... Lire la suite
49,99 € Neuf
Expédié sous 2 à 4 semaines
Livré chez vous entre le 28 août et le 11 septembre
En magasin

Résumé

Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later, a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject.
Springer is reissuing a selected few of these highly successful books in a new, inexpensive softcover edition, to make them easily accessible to younger generations of students and researchers.

Sommaire

  • CLASSICAL AND PARABOLIC POTENTIAL THEORY
    • introduction to the mathematical background of classical potential theory
    • basic properties of harmonic, subharmonic, and superharmonic functions
    • Infima of families of superharmonic functions
    • Potentials on special open sets
    • Polar sets and their applications
    • The fundamental convergence theorem and the reduction operation
    • Green functions
    • The Dirichlet problem for relative harmonic functions
    • Lattices and related classes of functions
    • The sweeping operation
    • The fine topology
    • The Martin boundary
    • Classical energy and capacity
    • One-dimensional potential theory
    • Parabolic potential theory: basic facts
    • Subparabolic, superparabolic, and parabolic functions on a slab
    • Parabolic potential theory (continued)
    • The parabolic Dirichlet problem, sweeping, and exceptional sets
    • The Martin boundary in the parabolic context
  • PROBABILISTIC COUNTERPART OF PART 1
    • Fundamental concepts of probability
    • Optional times and associated concepts
    • Elements of Martingale theory
    • Basic properties of continuous parameter supermartingales
    • Lattices and related classes of stochastic processes
    • Markov processes
    • Brownian motion
    • The Itô integral
    • Brownian motion and Martingale theory
    • Conditional Brownian motion
    • Lattices in classical potential theory and Martingale theory
    • Brownian motion and the PWB method
    • Brownian motion on the Martin space.

Caractéristiques

  • Date de parution
    01/01/2001
  • Editeur
  • Collection
  • ISBN
    3-540-41206-9
  • EAN
    9783540412069
  • Format
    Grand Format
  • Présentation
    Broché
  • Nb. de pages
    846 pages
  • Poids
    1.37 Kg
  • Dimensions
    15,6 cm × 23,6 cm × 4,8 cm

Avis libraires et clients

Avis audio

Écoutez ce qu'en disent nos libraires !

Vous aimerez aussi

Derniers produits consultés

49,99 €