A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals /

One of the difficulties with integration theory is that there are so many different detailed definitions that the non-expert is confused about their relative strengths and usefulness. A surprising recent development in the theory of integration has been the discovery that suitable modifications to t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: McShane, E. J. (Edward James), 1904-1989
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 1969.
Colección:Memoirs of the American Mathematical Society ; no. 88.
Temas:
Integrals.
Lebesgue integral.
Integrals, Bochner.
Integrals, Generalized.
Pettis integral.
Stochastic integrals.
Intégrales.
Intégrale de Lebesgue.
Intégrales de Bochner.
Intégrales généralisées.
Intégrale de Pettis.
Intégrales stochastiques.
Stochastic integrals
Pettis integral
Lebesgue integral
Integrals, Generalized
Integrals, Bochner
Integrals
Bochner-Integral
Lebesgue-Stieltjes-Integral
Riemannsches Integral
Stochastisches Integral
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Preliminaries concerning semi-groups and limits
  • Notation and definitions
  • Elementary properties
  • Henstock's lemma
  • Absolute integrability
  • The monotone convergence theorem
  • The dominated convergence theorem
  • A more traditional type of integral
  • Convergence theorems
  • Measure
  • Examples : integrals of Stieltjes type
  • Examples
  • The Bochner, Pettis and Bogdanowicz integrals
  • Stochastic integrals.

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