%0 Journal Article %T Some Applications of the Spectral Theory for the Integral Transform Involving the Spectral Representation %A Hyun Soo Chung %A Seung Jun Chang %J Journal of Function Spaces and Applications %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/573602 %X In many previous papers, an integral transform was just considered as a transform on appropriate function spaces. In this paper we deal with the integral transform as an operator on a function space. We then apply various operator theories to . Finally we give an application for the spectral representation of a self-adjoint operator which plays a key role in quantum mechanics. %U http://www.hindawi.com/journals/jfsa/2012/573602/