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math.SP2026
Near Isospectrality and Spectral Rigidity for Compact Locally Symmetric Manifolds
Sudhir Pujahari, Punya Plaban Satpathy
The inverse spectral problem asks to what extent the Laplace--Beltrami spectrum determines the geometry of a Riemannian manifold. We study a natural weakening, called \emph{near is…
math.SP2020
Scattering theory on higher -rank locally symmetric spaces
Punya Plaban Satpathy
In 1977, Victor Guillemin published a paper discussing geometric scattering theory, in which he related the Lax-Phillips Scattering matrices (associated to a noncompact hyperbolic…