In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission ...

New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are applicable to a more general class of integration methods and, in many cases, are better than ...

Studies exploring the multi-scale asymptotic structure of eigenfunctions in problems with concentrated masses near boundaries have provided detailed insights into eigenvalue splitting and the ...

Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators ...

This course introduces the quantum mechanical concept of angular momentum operator and its relationship with rotation operator. It then presents the angular momentum operators, their eigenvalues and ...