The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the -estimates for Fuchs type pseudodifferential operators.
@article{bwmeta1.element.bwnjournal-article-smv115i3p207bwm,
author = {Qihong Fan},
title = {Symbol calculus on the affine group "ax + b"},
journal = {Studia Mathematica},
volume = {113},
year = {1995},
pages = {207-217},
zbl = {0973.43501},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv115i3p207bwm}
}
Fan, Qihong. Symbol calculus on the affine group "ax + b". Studia Mathematica, Tome 113 (1995) pp. 207-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i3p207bwm/
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