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

Colloquium Mathematicae (2006)

- Volume: 106, Issue: 2, page 231-255
- ISSN: 0010-1354

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topT. 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 -

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