  In this article, we give a new definition of the linear canonical Stockwell
transform (LCST) and study its basic properties along with the inner product
relation, reconstruction formula and also characterize the range of the
transform and show that its range is the reproducing kernel Hilbert space. We
also develop a multiresolution analysis (MRA) associated with the proposed
transform together with the construction of the orthonormal basis for
$L^2(\mathbb{R}).$
