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}
}
  • David Ferrone, Vignon Oussa
  • Published 2012
  • Mathematics
  • International journal of pure and applied mathematics
  • 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 

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