Pseudo-differential operators associated to a pair of Hankel-Clifford transformations on certain Beurling type function spaces (Q2868583)

The first and second Hankel-Clifford transformations and their basic properties are discussed. The generalization of Hankel-Clifford transformations for Beurling type function spaces are established and further, they are studied for two pseudodifferential operators in Section 3. Product and convolution on the spaces are investigated. Other types of function spaces are introduced and the continuity of the pseudo-differential operators are proved in Sections 5 and 6.