Published paper
Abstract
The temperedness criterion and Harish-Chandra majorization yield the matrix-coefficient estimates (6.7)–(6.9) used by Einsiedler–Margulis–Venkatesh.
Role in dependence graphs
Proof-critical source
Bounded trajectories of quasi-rays
This paper is included only for the following marked statement:
- Theorem 1 and matrix-coefficient majorization · pp. 97–110; EMV §§6.2.2 and 6.3.2Characterizes temperedness through coefficients and bounds -finite coefficients by Harish-Chandra's spherical function, producing EMV (6.7)–(6.9).
Proof-critical source
Submanifold-genericity of $\mathbb{R}^d$-actions and uniform multiplicative Diophantine approximation
This paper is included only for the following marked statement:
- Theorem 1 and matrix-coefficient majorization · pp. 97–110; EMV §§6.2.2 and 6.3.2Temperedness criterion and Harish-Chandra majorization used in EMV.
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