Geodesic
The real and complex techniques in harmonic analysis from the point of view of covariant transform
Eurasian mathematical journal, Tome 5 (2014) no. 1, pp. 95-121

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This paper reviews complex and real techniques in harmonic analysis. We describe the common source of both approaches rooted in the covariant transform generated by the affine group. 
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V. V. Kisil. The real and complex techniques in harmonic analysis from the point of view of covariant transform. Eurasian mathematical journal, Tome 5 (2014) no. 1, pp. 95-121. http://geodesic.mathdoc.fr/item/EMJ_2014_5_1_a3/