K-finite Whittaker functions are of finite order one

"K-finite Whittaker functions are of finite order one." Acta Arithmetica 158.4 (2013): 359-401. <http://eudml.org/doc/279617>.

@article{Unknown2013,
abstract = {We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.},
journal = {Acta Arithmetica},
keywords = {Whittaker functions; automorphic -functions},
language = {eng},
number = {4},
pages = {359-401},
title = {K-finite Whittaker functions are of finite order one},
url = {http://eudml.org/doc/279617},
volume = {158},
year = {2013},
}

TY - JOUR
TI - K-finite Whittaker functions are of finite order one
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 4
SP - 359
EP - 401
AB - We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.
LA - eng
KW - Whittaker functions; automorphic -functions
UR - http://eudml.org/doc/279617
ER -