Radon Integrals

Language: English

Published by Birkhäuser, Birkhäuser Dez 2012, 2012

1461267331 / 9781461267331

Series: Book 16 of 170 - Progress in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 344 pp. Englisch.…

Seller Inventory # 9781461267331

Title
Radon Integrals
Author
B. Anger
Publisher
Birkhäuser, Birkhäuser Dez 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461267331
ISBN 13
9781461267331
Item weight
522 grams
Dimensions
235x155x19 mm
Series
Book 16 of 170: Progress in Mathematics

buchversandmimpf2000

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