Convex cones in analysis

This monograh is mainly devoted to the theory of integral representation
in convex cones due to G. Choquet and to several of
its applications to Analysis :
Classical theorems of Bochner-Weil and of Berstein, theorem of
Choquet-Deny, axiomatics of Brelot an Bauer in potential theory,
results of Talagrand concerning invariant measures and
capacities and those of Royer and Yor concerning Quasi-invariant
measures in field theory.
This book is accessible to a student with a Master's degrees
M1 and M2, with emphasis on analysis, and can be considered
as an introduction to the richness and variety of the subjects.
The three tools created by G. Choquet in this framework (weakly
complete cones, caps, conical measures) are also studied for
themselves. Moreover, there are also useful in other fields close
to Analysis : zonoforms and vector measures, statistical decision
spaces. bireticulated cones and normal cones contained in
Banach spaces. Remark that in the postface G. Choquet relates
the thought process which led him to find out the three tools
mentioned above.

Product details

• Authors: Richard Becker, Richard (1947-....) Becker, BECKER RICHARD, Becker/richard, Becker-r, Richard Becker
• Publisher: Hermann
• Languages: French
• Product format: Paperback / Softback
• Released: 08.11.2006
• EAN: 9782705666712
• ISBN: 978-2-7056-6671-2
• Dimensions: 170 mm x 240 mm x 10 mm
• Weight: 4600 g
• Series: Travaux en cours, n° 58; Travaux en cours, n° 81; Travaux en cours, n° 66; Travaux en cours, n° 46; Travaux en cours, n° 77; Travaux en cours, n° 81; Travaux en cours; Travaux en cours, n° 19
• Subject: Non-fiction book > Nature, technology