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The Journal of geometric analysis, ISSN 1559-002X, 2018, Volume 29, Issue 1, pp. 142 - 193
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2020, Volume 276, pp. 166 - 171
In the present work we consider the problem of a reconstruction of eigenfunctions of the Johnson graph J(n,w... 
Reconstruction | Johnson graph | Eigenspace | Eberlein polynomials | MATHEMATICS, APPLIED | Eigenvalues | Eigenvectors
Journal Article
Journal of Differential Geometry, ISSN 0022-040X, 10/2015, Volume 101, Issue 2, pp. 197 - 211
In this paper we consider the problem of prescribing the nodal set of low-energy eigenfunctions of the Laplacian... 
LAPLACIAN | EIGENVALUE | MATHEMATICS | GENERIC PROPERTIES | 2ND EIGENFUNCTION | DOMAINS | CRITICAL-POINTS | LINES | RIEMANNIAN-MANIFOLDS
Journal Article
Computer aided design, ISSN 0010-4485, 2009, Volume 41, Issue 10, pp. 739 - 755
This paper proposes the use of the surface-based Laplace–Beltrami and the volumetric Laplace eigenvalues and eigenfunctions as shape descriptors for the comparison and analysis of shapes... 
Laplace–Beltrami spectra | Caudate nucleus | Schizotypal personality disorder | Reeb graph | Eigenvalues | Eigenfunctions | Nodal domains | Morse–Smale complex | Brain structure | Laplace-Beltrami spectra | Morse-Smale complex | COMPUTER SCIENCE, SOFTWARE ENGINEERING | SPECTRA | SURFACES | Laplace-Beltrami Spectra | Reeb Graph | Caudate Nucleus
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 08/2017, Volume 263, Issue 3, pp. 1755 - 1772
We discuss several properties of eigenvalues and eigenfunctions of the p-Laplacian on a ball subject to zero Dirichlet boundary conditions... 
Cheeger set | Eigenvalue problem | Dirichlet p-Laplacian | Variational characterization of eigenvalues | Cheeger constant | MATHEMATICS | Dirichiet p-Laplacian
Journal Article
The Journal of chemical physics, ISSN 1089-7690, 2011, Volume 134, Issue 23, pp. 234103 - 234103-12
Vibrational eigenfunctions are calculated on-the-fly using semiclassical methods in conjunction with ab initio density functional theory classical trajectories... 
QUANTUM DYNAMICS | MOLECULAR-DYNAMICS | WAVE-FUNCTIONS | TIME-CORRELATION FUNCTIONS | COMPLEX-SYSTEMS | THERMAL RATE CONSTANTS | DISCRETE VARIABLE REPRESENTATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | QUANTIZATION | CLASSICAL S-MATRIX | INITIAL-VALUE REPRESENTATION
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 01/2002, Volume 50, Issue 1, pp. 11 - 26
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 2/2008, Volume 105, Issue 6, pp. 1803 - 1808
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 4/2015, Volume 216, Issue 1, pp. 117 - 151
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 8/2017, Volume 286, Issue 3, pp. 1217 - 1226
Jakobson and Nadirashvili (J Differ Geom 53(1):177–182, 1999) constructed a sequence of eigenfunctions on $$T^2... 
53C40 | Eigenfunction of Laplacian | Critical set | 58J50 | Mathematics, general | Mathematics | Isoparametric hypersurface | 57R70 | MATHEMATICS | HYPERSURFACES | SPHERES | 1ST EIGENVALUE | 4 PRINCIPAL CURVATURES | YAU CONJECTURE | RIEMANNIAN-MANIFOLDS
Journal Article
DOCUMENTA MATHEMATICA, ISSN 1431-0643, 2018, Volume 23, pp. 1561 - 1585
According to Courant's theorem, an eigenfunction associated with the n-th eigenvalue lambda(n... 
MATHEMATICS | EIGENVALUES | Nodal domain | Eigenfunction | Courant nodal domain theorem | Mathematics | Spectral Theory | Differential Geometry | Mathematical Physics | Analysis of PDEs
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 06/2010, Volume 51, Issue 6, pp. 062101 - 062101-19
Journal Article
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, ISSN 0218-2025, 06/2019, Volume 29, Issue 6
.... Furthermore, we address spline approximation of eigenfunctions of a large class of differential operators, with a particular focus on the special case of periodic splines... 
EIGENVALUE | eigenfunction convergence | MATHEMATICS, APPLIED | optimal spaces | FINITE-ELEMENT | error estimates | inverse inequalities | Spline approximation
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 08/2019, Volume 31, Issue 7, p. 1950019
.... Our main purpose of this paper is the construction of generalized eigenfunctions of the time evolution operator... 
generalized eigenfunction | Quantum walk | S-matrix | eigenvalue | INFINITY | DECAY | PARTIAL-DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | OPERATORS | Evolution | Mathematics - Spectral Theory
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 8/2016, Volume 42, Issue 4, pp. 973 - 993
Journal Article