Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.

Sundaram Thangavelu

Revista Matemática Iberoamericana (1991)

  • Volume: 7, Issue: 2, page 135-155
  • ISSN: 0213-2230

Abstract

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The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of Hn.

How to cite

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Thangavelu, Sundaram. "Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.." Revista Matemática Iberoamericana 7.2 (1991): 135-155. <http://eudml.org/doc/39421>.

@article{Thangavelu1991,
abstract = {The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup \{(0,2πk): k ∈ Z\} of Hn.},
author = {Thangavelu, Sundaram},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores; Transformada de Fourier; Esferas; Media; Variedad riemanniana; Variedad simpléctica; Variedades compactas; spherical mean value operators; reduced Heisenberg group; compactly supported probability measure; eigenvalues; radial functions; spherical functions},
language = {eng},
number = {2},
pages = {135-155},
title = {Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.},
url = {http://eudml.org/doc/39421},
volume = {7},
year = {1991},
}

TY - JOUR
AU - Thangavelu, Sundaram
TI - Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.
JO - Revista Matemática Iberoamericana
PY - 1991
VL - 7
IS - 2
SP - 135
EP - 155
AB - The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of Hn.
LA - eng
KW - Operadores; Transformada de Fourier; Esferas; Media; Variedad riemanniana; Variedad simpléctica; Variedades compactas; spherical mean value operators; reduced Heisenberg group; compactly supported probability measure; eigenvalues; radial functions; spherical functions
UR - http://eudml.org/doc/39421
ER -

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