Abstract
In this paper, a study related to the μ th order Mehler–Fock transform (µMFT) is carried out. Boundedness of translation and convolution operators in Lebesgue space are obtained. Continuity of µMFT in Lebesgue as well as some test function spaces are discussed. Further, a pseudo-differential operator (p.d.o.) associated to µMFT is defined and studied its continuity over certain function spaces.
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