A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)

T. Godoy, and L. Saal. "A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)." Colloquium Mathematicae 106.2 (2006): 231-255. <http://eudml.org/doc/284345>.

@article{T2006,
abstract = {Let 𝓢(Hₙ) be the space of Schwartz functions on the Heisenberg group Hₙ. We define a spherical transform on 𝓢(Hₙ) associated to the action (by automorphisms) of U(p,q) on Hₙ, p + q = n. We determine its kernel and image and obtain an inversion formula analogous to the Godement-Plancherel formula.},
author = {T. Godoy, L. Saal},
journal = {Colloquium Mathematicae},
keywords = {Heisenberg group; spherical transform; Schwartz space},
language = {eng},
number = {2},
pages = {231-255},
title = {A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)},
url = {http://eudml.org/doc/284345},
volume = {106},
year = {2006},
}

TY - JOUR
AU - T. Godoy
AU - L. Saal
TI - A spherical transform on Schwartz functions on the Heisenberg group associated to the action of U(p,q)
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 2
SP - 231
EP - 255
AB - Let 𝓢(Hₙ) be the space of Schwartz functions on the Heisenberg group Hₙ. We define a spherical transform on 𝓢(Hₙ) associated to the action (by automorphisms) of U(p,q) on Hₙ, p + q = n. We determine its kernel and image and obtain an inversion formula analogous to the Godement-Plancherel formula.
LA - eng
KW - Heisenberg group; spherical transform; Schwartz space
UR - http://eudml.org/doc/284345
ER -