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
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
We show that if the eccentricity of an ellipse is sufficiently small then up to isometries it is spe...
We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions ...
In a celebrated paper "Can one hear the shape of a drum?" M. Kac [Am. Math. Monthly 73, 1 (1966)] as...
In a celebrated paper "Can one hear the shape of a drum?" M. Kac [Am. Math. Monthly 73, 1 (1966)] as...
The best-known negative answer to Mark Kac's question, "Can one hear the shape of a drum?" is a pair...
Spectral theory is the study of Mark Kac's famous question [K], "can one hear the shape of a drum?" ...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
Abstract:\ua0 Flat tori are among the only types of Riemannian manifolds for which the Laplace eigen...
Analytically computing the spectrum of the Laplacian is impossible for all but a handful of classica...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
We show that if the eccentricity of an ellipse is sufficiently small then up to isometries it is spe...
We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions ...
In a celebrated paper "Can one hear the shape of a drum?" M. Kac [Am. Math. Monthly 73, 1 (1966)] as...
In a celebrated paper "Can one hear the shape of a drum?" M. Kac [Am. Math. Monthly 73, 1 (1966)] as...
The best-known negative answer to Mark Kac's question, "Can one hear the shape of a drum?" is a pair...
Spectral theory is the study of Mark Kac's famous question [K], "can one hear the shape of a drum?" ...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
Abstract:\ua0 Flat tori are among the only types of Riemannian manifolds for which the Laplace eigen...
Analytically computing the spectrum of the Laplacian is impossible for all but a handful of classica...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary condi- tions, the classical noti...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
DOI
Add to ORKG