Results 141 to 150 of about 15,892 (238)

Expansions in Eigenfunctionals

open access: yesIndagationes Mathematicae (Proceedings), 1965
openaire   +2 more sources

Restriction of Schr\"odinger eigenfunctions to submanifolds

open access: yes
Burq-G\'erard-Tzvetkov and Hu established $L^p$ estimates for the restriction of Laplace-Beltrami eigenfunctions to submanifolds. We investigate the eigenfunctions of the Schr\"odinger operators with critically singular potentials, and estimate the $L^p$
Zhang, Cheng, Wang, Xing, Huang, Xiaoqi
core  

Isoscattering non-isospectral quantum graphs. [PDF]

open access: yesSci Rep
Farooq O   +3 more
europepmc   +1 more source

Bounds on Eigenfunctions of Quantum Cat Maps

open access: yes
We study $\ell^\infty$ norms of $\ell^2$-normalized eigenfunctions of quantum cat maps. For maps with short quantum periods (constructed by Bonechi and de Bi\`evre), we show that there exists a sequence of eigenfunctions $u$ with $\|u\|_{\infty}\gtrsim (\
Kim, Elena, Koirala, Robert
core  

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