Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform
Abhisekh Shekhar *
Department of Mathematics, C.M. Science College, Darbhanga-846004, India.
Annu Kumari
University Department of Mathematics, L.N.M.U. Darbhanga-846008, Bihar, India.
*Author to whom correspondence should be addressed.
Abstract
Some results on compactness for pseudo-differential type operators A(x,Δ′) and A(x,Δ′) are investigated. Norms of pseudo-differential type operators modulo compact operators are discussed.
Keywords: Fractional Fourier transform, generalized schwartz space, sobolev type spaces, pseudo-differential type operators