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Displaying 61 – 80 of 326

Shadowing in actions of some Abelian groups

Sergei Yu. Pilyugin, Sergei B. Tikhomirov (2003)

Fundamenta Mathematicae

We study shadowing properties of continuous actions of the groups $ℤ^{p}$ and $ℤ^{p} \times ℝ^{p}$ . Necessary and sufficient conditions are given under which a linear action of $ℤ^{p}$ on $ℂ^{m}$ has a Lipschitz shadowing property.

Sharp Inequalities for Weyl Operators and Heisenberg Groups.

Abel Klein, Bernard Russo (1978)

Mathematische Annalen

Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups

Waldemar Hebisch (1989)

Studia Mathematica

Sharpness of Young's inequality for convolution.

Leonard Y.H. Yap, T.S. Quek (1983)

Mathematica Scandinavica

Sidon Sets on Compact Groups.

Charles F. Dunkl, Donald E. Ramirez (1971)

Monatshefte für Mathematik

Siegel measures.

Veech, William A. (1998)

Annals of Mathematics. Second Series

Simple facts about analytic vectors and integrability

M. Flato, J. Simon, H. Snellman, D. Sternheimer (1972)

Annales scientifiques de l'École Normale Supérieure

Simple quotients of group $C^{*}$ -algebras for two step nilpotent groups and connected Lie groups

Detlev Poguntke (1983)

Annales scientifiques de l'École Normale Supérieure

Simplicity of Neretin's group of spheromorphisms

Christophe Kapoudjian (1999)

Annales de l'institut Fourier

Denote by $𝒯_{n}$ , $n \geq 2$ , the regular tree whose vertices have valence $n + 1$ , $\partial 𝒯_{n}$ its boundary. Yu. A. Neretin has proposed a group $N_{n}$ of transformations of $\partial 𝒯_{n}$ , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that $N_{n}$ is generated by two groups: the group $Aut (𝒯_{n})$ of tree automorphisms, and a Higman-Thompson group $G_{n}$ . We prove the simplicity of $N_{n}$ and of a family of its subgroups.