# Ambarzumyan’s theorem for the quasi-periodic boundary conditions

Ambarzumyan’s theorem for the quasi-periodic boundary conditions We obtain the classical Ambarzumyan’s theorem for the Sturm–Liouville operators $$L_{t}(q)$$ L t ( q ) with $$q\in L^{1}[0,1]$$ q ∈ L 1 [ 0 , 1 ] and quasi-periodic boundary conditions, $$t\in [0,2\pi )$$ t ∈ [ 0 , 2 π ) , when there is not any additional condition on the potential q. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

# Ambarzumyan’s theorem for the quasi-periodic boundary conditions

, Volume 6 (3) – Oct 17, 2015
4 pages

/lp/springer-journals/ambarzumyan-s-theorem-for-the-quasi-periodic-boundary-conditions-tAEkAPQ7yh
Publisher
Springer Journals
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0118-0
Publisher site
See Article on Publisher Site

### Abstract

We obtain the classical Ambarzumyan’s theorem for the Sturm–Liouville operators $$L_{t}(q)$$ L t ( q ) with $$q\in L^{1}[0,1]$$ q ∈ L 1 [ 0 , 1 ] and quasi-periodic boundary conditions, $$t\in [0,2\pi )$$ t ∈ [ 0 , 2 π ) , when there is not any additional condition on the potential q.

### Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Oct 17, 2015