A Paley-Wiener theorem for step two nilpotent Lie groups.

Thangavelu, Sundaram. "A Paley-Wiener theorem for step two nilpotent Lie groups.." Revista Matemática Iberoamericana 10.1 (1994): 177-187. <http://eudml.org/doc/39455>.

@article{Thangavelu1994,
abstract = {It is an interesting open problem to establish Paley-Wiener theorems for general nilpotent Lie groups. The aim of this paper is to prove one such theorem for step two nilpotent Lie groups which is analogous to the Paley-Wiener theorem for the Heisenberg group proved in [4].},
author = {Thangavelu, Sundaram},
journal = {Revista Matemática Iberoamericana},
keywords = {Grupos de Lie; Grupo nilpotente; Transformada de Fourier; Paley-Wiener theorem; step two nilpotent Lie groups; representations; Heisenberg group},
language = {eng},
number = {1},
pages = {177-187},
title = {A Paley-Wiener theorem for step two nilpotent Lie groups.},
url = {http://eudml.org/doc/39455},
volume = {10},
year = {1994},
}

TY - JOUR
AU - Thangavelu, Sundaram
TI - A Paley-Wiener theorem for step two nilpotent Lie groups.
JO - Revista Matemática Iberoamericana
PY - 1994
VL - 10
IS - 1
SP - 177
EP - 187
AB - It is an interesting open problem to establish Paley-Wiener theorems for general nilpotent Lie groups. The aim of this paper is to prove one such theorem for step two nilpotent Lie groups which is analogous to the Paley-Wiener theorem for the Heisenberg group proved in [4].
LA - eng
KW - Grupos de Lie; Grupo nilpotente; Transformada de Fourier; Paley-Wiener theorem; step two nilpotent Lie groups; representations; Heisenberg group
UR - http://eudml.org/doc/39455
ER -