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Annals of Mathematics, ISSN 0003-486X, 5/2018, Volume 187, Issue 3, pp. 973 - 974
Journal Article
Journal of Multimedia, ISSN 1796-2048, 12/2013, Volume 8, Issue 6, pp. 655 - 655
The comparison and matching based on partial description of the 3D model is the current focus of study in the shape analysis. The partial description based on... 
Eigenfunctions
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 01/2016, Volume 38, Issue 1, pp. 188 - 194
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 2015, Volume 2015, Issue 16, pp. 6988 - 7015
Let psi be a Hecke-Maass cusp form on a cubic central simple algebra over Q. We apply arithmetic amplification to improve the local bound for the L-2-norm of... 
MATHEMATICS | EIGENFUNCTIONS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 05/2019, Volume 342, Issue 5, pp. 1351 - 1360
We study functions defined on the vertices of the Hamming graphs H(n,q). The adjacency matrix of H(n,q) has n+1 distinct eigenvalues n(q−1)−q⋅i with... 
Support | Hamming graph | Eigenfunction | MATHEMATICS | CARDINALITY | EIGENFUNCTIONS
Journal Article
by Rui Han
Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2019, Volume 147, Issue 7, pp. 2887 - 2897
We extend some basic results known for finite range operators to long range operators with off-diagonal decay. Namely, we prove an analogue of Shnol's theorem.... 
MATHEMATICS | LOCALIZATION | MATHEMATICS, APPLIED | EIGENFUNCTIONS
Journal Article
Annals of Mathematics, ISSN 0003-486X, 1/2020, Volume 191, Issue 1, pp. 167 - 211
We show that a second Neumann eigenfunction of a Euclidean triangle has at most one (non-vertex) critical point , and if exists, then it is a non-degenerate... 
Laplace operator | MATHEMATICS | hot spots | Neumann eigenfunction | EIGENFUNCTIONS | DOMAINS | CONJECTURE
Journal Article
QUARTERLY JOURNAL OF MATHEMATICS, ISSN 0033-5606, 12/2018, Volume 69, Issue 4, pp. 1151 - 1161
We prove a sup norm bound on the real-analytic Eisenstein series, of the form E(z, 1/2 + iT) << T3/8+epsilon, uniformly for z in a fixed compact subset of H. 
MATHEMATICS | BOUNDS | EIGENFUNCTIONS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 12/2014, Volume 267, Issue 12, pp. 4635 - 4666
We prove families of uniform (Lr,Ls) resolvent estimates for simply connected manifolds of constant curvature (negative or positive) that imply the earlier... 
Eigenfunctions | Resolvent | Constant curvature
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 01/2009, Volume 79, Issue 1
We develop a theoretical formalism to describe bimodal atomic force microscopy (AFM) experiments. The theory relates observables such as amplitudes and phase... 
SURFACE | PHYSICS, CONDENSED MATTER | cantilevers | atomic force microscopy | MODE | eigenvalues and eigenfunctions
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2013, Volume 252, pp. 495 - 517
Journal Article
2015, 2nd edition., Advances in applied mathematics, ISBN 9781482251029, xvii, 667
Since publication of the first edition over a decade ago, Green's Functions with Applicationshas provided applied scientists and engineers with a systematic... 
Green's functions | Green-Funktion
Book
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 2019, pp. 1 - 27
AbstractFor a family of elliptic operators with periodically oscillating coefficients, $-{\rm div}(A(\cdot /\varepsilon )\nabla )$ with tiny ε > 0, we... 
eigenfunctions | Homogenization | eigenvalues | boundary layers
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 09/2015, Volume 51, Issue 9, pp. 1 - 4
Journal Article
EPL, ISSN 0295-5075, 10/2013, Volume 104, Issue 2, p. 20004
While the decay of correlations in dynamical systems has been discussed in the physics and mathematics literature for several decades, there exists virtually... 
PHYSICS, MULTIDISCIPLINARY | EIGENFUNCTIONS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 02/2016, Volume 289, pp. 384 - 396
We use a straightforward variation on a recent argument of Hezari and Rivière [8] to obtain localized Lp-estimates for all exponents larger than or equal to... 
Eigenfunctions | Quantum ergodicity | Negative curvature
Journal Article
MATHEMATICAL RESEARCH LETTERS, ISSN 1073-2780, 2019, Volume 26, Issue 2, pp. 421 - 445
In this paper we study the behaviour of the Neumann data of Dirichlet eigenfunctions on simplices. We prove that the L-2 norm of the (semi-classical) Neumann... 
MATHEMATICS | QUANTUM ERGODIC RESTRICTION | EIGENFUNCTIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 803 - 818
We prove that after an arbitrarily small adjustment of edge lengths, the spectrum of a compact quantum graph with δ-type vertex conditions can be simple. We... 
Quantum graphs | Zeros of eigenfunctions | Simple spectrum
Journal Article
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