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Radon Integrals

Name: Radon Integrals
Brand: Springer, Basel
SKU: 9780817636302
Price: 100.0 EUR
Availability: InStock

An abstract approach to integration and Riesz representation through function cones

Autor: B. Anger, C. Portenier

Jazyk:

Väzba: Pevná

Vydavateľ: Springer, Basel

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-13 dní

100.00 €

In topological measure theory, Radon measures are the most important objects. In the context of loca...

Informácie o knihe

Autor

B. Anger, C. Portenier

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

1992

Stránok

334

EAN

9780817636302

ISBN

0817636307

Enbook ID

01399004

Vydavateľ

Springer, Basel

Hmotnosť

667

Rozmery

155 x 235 x 20

Kompletný popis

In topological measure theory, Radon measures are the most important objects. In the context of locally compact spaces, there are two equivalent canonical definitions. As a set function, a Radon measure is an inner compact regular Borel measure, finite on compact sets. As a functional, it is simply a positive linear form, defined on the vector lattice of continuous real-valued functions with compact support. During the last few decades, in particular because of the developments of modem probability theory and mathematical physics, attention has been focussed on measures on general topological spaces which are no longer locally compact, e.g. spaces of continuous functions or Schwartz distributions. For a Radon measure on an arbitrary Hausdorff space, essentially three equivalent definitions have been proposed: As a set function, it was defined by L. Schwartz as an inner compact regular Borel measure which is locally bounded. G. Choquet considered it as a strongly additive right continuous content on the lattice of compact subsets. Following P.A. Meyer, N. Bourbaki defined a Radon measure as a locally uniformly bounded family of compatible positive linear forms, each defined on the vector lattice of continuous functions on some compact subset.

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Radon Integrals

An abstract approach to integration and Riesz representation through function cones

Informácie o knihe

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