The paper surveys open problems and questions related to different aspects of integrable
systems with finitely many degrees of freedom. Many of the open problems were suggested …

We give an overview of some new and old results on geometric properties of eigenfunctions
of Laplacians on Riemannian manifolds. We discuss properties of nodal sets and critical …

Unsaturated triglyceride oil (sunflower) was obtained from commercial sources. It was
epoxidized and characterized by chemical and spectroscopic methods. The thermo …

In investigations of shale gas found within shale formations, the conversion of the
experimentally determined excess adsorption amount to the absolute amount is crucial to …

The standard eigenfunctions \phi_λ=e^i⟨λ,x⟩ on flat tori R^n/L have L^∞-norms bounded
independently of the eigenvalue. In the case of irrational flat tori, it follows that L^2 …

We give an overview of some old results on weak* limits of eigenfunctions and prove some
new ones. We first show that on M=(S n, can) every probability measure on S* M which is …

Quantum integrability of quadratic Killing tensors | Journal of Mathematical Physics | AIP
Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …

The study of the asymptotics of the spectral function for self-adjoint, elliptic differential, or
more generally pseudodifferential, operators on a compact manifold has a long history. The …

We study the spectrum of the Laplace–Beltrami operator on ellipsoids. For ellipsoids that are
close to the sphere, we use analytic perturbation theory to estimate the eigenvalues up to …

Classical integrable Hamiltonian systems generated by elements of the Poisson commuting
ring of spectral invariants on rational coadjoint orbits of the loop algebra gl^+*(2, R) are …