Characterization of native strains of Azospirillum spp. and its effect on growth of Oryza sativa L. “rice” in Lambayeque

Abstract

A pair of pseudo-differential operators (p.d.o.) involving the Kontorovich–Lebedev transform (KL-transform) as well as its adjoint is defined. Estimates for translation and convolution function associated with the Kontorovich–Lebedev transform are obtained. Continuity of KL-transform and p.d.o. on Hω(R+)(or H0ω(R+)) and Gω(R+) are discussed.