Geodesic
The Kontorovich-Lebedev-Clifford transform
Filomat, Tome 35 (2021) no. 14, p. 4811

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DOI

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 α and G α are discussed. Further, pseudo-differential operator (p.d.o.) associated with the KLC-transform is defined and studied its properties on some function spaces
DOI : 10.2298/FIL2114811P
Classification : 44A20, 35S05
Keywords: Kontorovich-Lebedev transform, Pseudo-differential operator, Convolution 
Akhilesh Prasad; U K Mandal. The Kontorovich-Lebedev-Clifford transform. Filomat, Tome 35 (2021) no. 14, p. 4811 . doi: 10.2298/FIL2114811P
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     title = {The {Kontorovich-Lebedev-Clifford} transform},
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     year = {2021},
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     doi = {10.2298/FIL2114811P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114811P/}
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