English

A local Levinson theorem for compact symmetric spaces

Classical Analysis and ODEs 2019-02-25 v1

Abstract

A classical result due to Levinson characterizes the existence of non-zero functions defined on a circle vanishing on an open subset of the circle in terms of the pointwise decay of their Fourier coefficients [13]. We prove certain analogue of this result on compact symmetric spaces.

Keywords

Cite

@article{arxiv.1902.03583,
  title  = {A local Levinson theorem for compact symmetric spaces},
  author = {Mithun Bhowmik},
  journal= {arXiv preprint arXiv:1902.03583},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:0804.3759 by other authors

R2 v1 2026-06-23T07:36:56.567Z