English

Wiener Tauberian theorem for rank one semisimple Lie groups

Functional Analysis 2015-09-09 v2

Abstract

We prove a genuine analogue of Wiener Tauberian theorem for L1(G//K)L^1(G//K), where G is a semisimple Lie group of real rank one. This generalizes the corresponding result on the automorphism group of the unit disk by Y. Ben Natan, Y. Benyamini, H. Hedenmalm and Y. Weit.

Keywords

Cite

@article{arxiv.1508.06199,
  title  = {Wiener Tauberian theorem for rank one semisimple Lie groups},
  author = {Sanjoy Pusti and Amit Samanta},
  journal= {arXiv preprint arXiv:1508.06199},
  year   = {2015}
}

Comments

Proof of Lemma 4.4 is rewritten