• P.N. PATHAK
• RAGHAVENDRA SINGH
• RAJENDRA KUMAR TRIPATHI

In this paper we discuss Zemanian’s approach to expand certain generalized functions into series of orthonormal functions which are the eigen values of a certain type self-adjoint differential operator for which we deal with Laguerre polynomials which are known to form a sequence of orthogonal polynomials and hence system of orthonormal functions n in the interval (0,) with respect to the weight function x.e-x and construct a testing function space A(Ln()) as a subspace of L2(I) space and then expand the members of dual space A(Ln()) of this space into orthonormal series of n.

A Study Of The Orthonormal Series Expansion of Generalized Functions

"A Study Of The Orthonormal Series Expansion of Generalized Functions", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 8, page no.1065-1074, August-2018, Available :http://www.jetir.org/papers/JETIR1809A61.pdf

"A Study Of The Orthonormal Series Expansion of Generalized Functions", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 8, page no. pp1065-1074, August-2018, Available at : http://www.jetir.org/papers/JETIR1809A61.pdf