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Valuations and surface area measures
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Published/Copyright:
May 9, 2012
Abstract.
We consider valuations defined on polytopes containing the origin which have measures on the sphere as values.
We show that the classical surface area measure is essentially the only such valuation which is
Funding source: Austrian Science Fund (FWF)
Award Identifier / Grant number: P23639-N18
Received: 2011-12-16
Revised: 2012-02-07
Published Online: 2012-05-09
Published in Print: 2014-02-01
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
- Sharp weighted estimates for dyadic shifts and the A2 conjecture
- Non-integrability by discrete quadratures
- The cyclotomic polynomial topologically
- Projections of Richardson varieties
- Motivic Milnor fiber of a quasi-ordinary hypersurface
- The special values of Dirichlet L-functions as an analogue of the Iwasawa power series
- Valuations and surface area measures
Articles in the same Issue
- Frontmatter
- Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
- Sharp weighted estimates for dyadic shifts and the A2 conjecture
- Non-integrability by discrete quadratures
- The cyclotomic polynomial topologically
- Projections of Richardson varieties
- Motivic Milnor fiber of a quasi-ordinary hypersurface
- The special values of Dirichlet L-functions as an analogue of the Iwasawa power series
- Valuations and surface area measures
