With each resonance of the Laplacian acting on compactly supported sections a homogeneous vector bundle over Riemannian symmetric space non-compact type, One can associate residue representation. The purpose this paper is to study them. assumed have rank-one but irreducible representation {\tau} K defining arbitrary. We give an algorithm that aims at determining if these representations are irr...

Abstract It is shown that the relative distance in Frobenius norm of a real symmetric order- d tensor rank-two to its best rank-one approximation upper bounded by $$\sqrt{1-(1-1/d)^{d-1}}$$ 1 - ( / d ) <...