# Linear Independence of a Finite Set of Dilations by a One-parameter Matrix Lie Group

@article{Ferrone2012LinearIO, title={Linear Independence of a Finite Set of Dilations by a One-parameter Matrix Lie Group}, author={David Ferrone and Vignon Oussa}, journal={International journal of pure and applied mathematics}, year={2012}, volume={84}, pages={49-62} }

Let G = {etA : t ∈ R} be a closed one-parameter subgroup of the general linear group of matrices of order n acting on Rn by matrix-vector multiplication. We assume that all eigenvalues of A are rationally related. We study conditions for which the set { f ( et1A· ) , · · · , f ( etmA· )} is linearly dependent in Lp (Rn) with 1 ≤ p <∞. AMS Subject Classification: 39B52

#### References

##### Publications referenced by this paper.

SHOWING 1-7 OF 7 REFERENCES