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In this paper, we generalize the spectrum relation in the paper "On the spectrum of the Laplacian, Math. Ann., 359(1-2):211--238, 2014, by Nelia Charalambous and Zhiqin Lu" to any Hermitian manifolds. We also prove that the closure of the Laplace operator on the moduli space of polarized Calabi-Yau manifolds is self-adjoint.
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The Dirichlet isospectral problem for trapezoids
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.
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- Award ID(s):
- 1908513
- PAR ID:
- 10588206
- Publisher / Repository:
- American Institute of Physics
- Date Published:
- Journal Name:
- Journal of Mathematical Physics
- Volume:
- 62
- Issue:
- 5
- ISSN:
- 0022-2488
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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