18 citations · 35 across the 10 of their papers we have counts for
12 papers
The Schur-Horn theorem for unbounded operators with discrete spectrum
Marcin Bownik, John Jasper, Bartłomiej Siudeja
We characterize diagonals of unbounded self-adjoint operators on a Hilbert space H that have only discrete spectrum, i.e., with empty essential spectrum. Our result extends the Sch…
Nearly radial Neumann eigenfunctions on symmetric domains
Nilima Nigam, Bartłomiej Siudeja, Benjamin Young
We study the existence of Neumann eigenfunctions which do not change sign on the boundary of some special domains. We show that eigenfunctions which are strictly positive on the bo…
On mixed Dirichlet-Neumann eigenvalues of triangles
Bartłomiej Siudeja
We order lowest mixed Dirichlet-Neumann eigenvalues of right triangles according to which sides we apply the Dirichlet conditions. It is generally true that Dirichlet condition on…
On the shape of the fundamental sloshing mode in axisymmetric containers
Tadeusz Kulczycki, Mateusz Kwaśnicki, Bartłomiej Siudeja
In the paper we numerically study positions of high spots (extrema) of the fundamental sloshing mode of liquid in an axisymmetric tank. Our approach is based on a linear model redu…
Generalized tight p-frames and spectral bounds for Laplace-like operators
Bartlomiej Siudeja
We prove sharp upper bounds for sums of eigenvalues (and other spectral functionals) of Laplace-like operators, including bi-Laplacian and fractional Laplacian. We show that among…
Spilling from a cognac glass
Tadeusz Kulczycki, Mateusz Kwasnicki, Bartlomiej Siudeja
In the paper we study the shape of the fundamental sloshing mode of a liquid in a container. Our approach is based on a mathematical model which is an appropriate Steklov eigenvalu…