Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 37-40
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A. I. Vinogradov. Poincare series in $SL(3,\mathbb{R})$. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 37-40. http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a3/
@article{ZNSL_1987_160_a3,
author = {A. I. Vinogradov},
title = {Poincare series in $SL(3,\mathbb{R})$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {37--40},
year = {1987},
volume = {160},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a3/}
}
TY - JOUR
AU - A. I. Vinogradov
TI - Poincare series in $SL(3,\mathbb{R})$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 37
EP - 40
VL - 160
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a3/
LA - ru
ID - ZNSL_1987_160_a3
ER -
%0 Journal Article
%A A. I. Vinogradov
%T Poincare series in $SL(3,\mathbb{R})$
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 37-40
%V 160
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a3/
%G ru
%F ZNSL_1987_160_a3
It is shown that in the spectral decomposition of the one-parameter Poincaré series from $SL(3,\mathbb{R})$ involves only the discrete spectrum, induced from $SL_2$ and not the discrete spectrum of $SL_3$ itself.
