The Dirichlet isospectral problem for trapezoids
Journal article, 2021
We show that non-obtuse trapezoids are uniquely determined by their Dirichlet Laplace spectrum. This extends our previous result [Hezari et al., Ann. Henri Poincare 18(12), 3759-3792 (2017)], which was only concerned with the Neumann Laplace spectrum.
Author
Hamid Hezari
University of California at Irvine (UCI)
Z. Lu
University of California at Irvine (UCI)
Julie Rowlett
University of Gothenburg
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Journal of Mathematical Physics
0022-2488 (ISSN) 1089-7658 (eISSN)
Vol. 62 5 051511Representations of Lie groups. Harmonic and complex analysis on symmetric and locally symmetric spaces
Swedish Research Council (VR) (2018-03402), 2019-01-01 -- 2022-12-31.
Subject Categories
Philosophy
Astronomy, Astrophysics and Cosmology
Mathematical Analysis
DOI
10.1063/5.0036384