Some observations on Certain class of pseudo differential operators

Abstract

The present thesis entitled SOME OBSERVATIONS ON CERTAIN CLASS newlineOF PSEUDO-DIFFERENTIAL OPERATORS is the outcome of the investigations newlinecarried out by the author towards the fulfilment for the award of the degree of newlineDoctor of Philosophy under the supervision of Professor Santosh Kumar Upadhyay, newlineDepartment of Mathematical Sciences, Indian Institute of Technology (Banaras newlineHindu University), Varanasi, India. newlineThis thesis consists of six chapters beginning with the introduction as Chapter 1, newlinein which brief review of literature concerning pseudo-differential operators, test function newlinespaces, Fourier transform, Hankel transform, Hankel convolution, Kontorovich- newlineLebedev transform and their useful properties are discussed. The notations and terminology newlineused in this chapter have been consistently used throughout the subsequent newlinechapters of this thesis. newline