Let G be a simply connected connected real nilpotent Lie group with Lie algebra g, H a connected closed subgroup of G with Lie algebra h and β ∈ h* satisfying β([h,h]) = {0}. Let χβ be the unitary ...

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 ...

We consider the solvability of non-invariant differential operators on homogeneous spaces. Such operators cannot be expected to have solutions in smooth functions (an illustrative example is provided) ...

Dirac operators lie at the heart of both mathematical physics and differential geometry, offering a unifying framework for the treatment of quantum mechanical systems and geometrical invariants. Their ...