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Regular orbital measures on Lie algebras

Alex Wright (2008)

Colloquium Mathematicae

Let H₀ be a regular element of an irreducible Lie algebra , and let $μ_{H ₀}$ be the orbital measure supported on $O_{H ₀}$ . We show that $μ ̂_{H ₀}^{k} \in L ² ()$ if and only if k > dim /(dim - rank ).

Regular quasimultipliers of some semisimple Banach algebras

José Galé (1988)

Studia Mathematica

Regular variation on homogeneous cones

T. Ostrogorski (1995)

Publications de l'Institut Mathématique

Regularity of conjugacies between critical circle maps: an experimental study.

de la Llave, Rafael, Petrov, Nikola P. (2002)

Experimental Mathematics

Regularity of convex functions on Heisenberg groups

Zoltán M. Balogh, Matthieu Rickly (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We discuss differentiability properties of convex functions on Heisenberg groups. We show that the notions of horizontal convexity (h-convexity) and viscosity convexity (v-convexity) are equivalent and that h-convex functions are locally Lipschitz continuous. Finally we exhibit Weierstrass-type h-convex functions which are nowhere differentiable in the vertical direction on a dense set or on a Cantor set of vertical lines.

Reiter's condition on foundation semigroups.

Nasr-Isfahani, A. (1998)

Bulletin of the Malaysian Mathematical Society. Second Series

Relationships between families of thin sets

Zuzana Bukovská (2003)

Mathematica Slovaca

Relative Kazhdan property

Yves de Cornulier (2006)

Annales scientifiques de l'École Normale Supérieure

Relatively weak* closed ideals of A(G), sets of synthesis and sets of uniqueness

A. Ülger (2014)

Colloquium Mathematicae

Let G be a locally compact amenable group, and A(G) and B(G) the Fourier and Fourier-Stieltjes algebras of G. For a closed subset E of G, let J(E) and k(E) be the smallest and largest closed ideals of A(G) with hull E, respectively. We study sets E for which the ideals J(E) or/and k(E) are σ(A(G),C*(G))-closed in A(G). Moreover, we present, in terms of the uniform topology of C₀(G) and the weak* topology of B(G), a series of characterizations of sets obeying synthesis. Finally, closely related to...