The study of differential operators within the framework of Lie groups offers a profound gateway into understanding symmetry, geometry and representation theory. At its core, this area investigates ...

Inverse problems in spectral theory address the challenge of reconstructing differential operators from observed spectral data. This field, rich in both theoretical and applied mathematics, underpins ...

In this paper, we derive a trace formula for self adjoint fourth order differential operator with bounded operator coefficient in the separable Banach space. Compared with the regularized trace ...