Open AccessThe Kontorovich-Lebedev-Clifford transform
Author(s) -
Akhilesh Prasad,
U. K. Mandal
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114811p
Subject(s) - mathematics , convolution (computer science) , convolution theorem , translation (biology) , clifford analysis , integral transform , operator (biology) , pure mathematics , mathematical analysis , fractional fourier transform , dirac operator , fourier transform , computer science , artificial intelligence , chemistry , fourier analysis , biochemistry , repressor , messenger rna , artificial neural network , transcription factor , gene
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.