On the similarity between the Iwasawa projection and the diagonal part
J. J. Duistermaat (1984)
Mémoires de la Société Mathématique de France
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Displaying similar documents to “Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups”
On the similarity between the Iwasawa projection and the diagonal part
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Geometry of biinvariant subsets of complex semisimple Lie groups
Gregor Fels, Laura Geatti (1998)
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A characterization of bi-invariant Schwartz space multipliers on nilpotent Lie groups
Joe Jenkins (1989)
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Rebecca A. Herb (1982)
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Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
Peter Sjögren (1988)
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Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
Francescopaolo Montefalcone (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a -step Carnot group. The first aim of this paper is to show an interplay between volume and -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for -regular submanifolds of codimension one. We then give some applications of this result: slicing of functions, integral geometric formulae for volume and -perimeter and, making use of a suitable notion of convexity, called, we state a Cauchy type formula for -convex sets. Finally,...