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The Kontorovich-Lebedev-Clifford transform (KLC-transform) as well as its
inversion are defined. The useful preliminary results like translation and
convolution operators are introduced and their estimates are obtained.
Continuity of translation and convolution operators on function spaces F?
and G? are discussed. Further, pseudo-differential operator (p.d.o.)
associated with the KLC-transform is defined and studied its properties on
some function spaces.