A restriction theorem for the Heisenberg motion

P. Ratnakumar; Rama Rawat; S. Thangavelu

Studia Mathematica (1997)

  • Volume: 126, Issue: 1, page 1-12
  • ISSN: 0039-3223

Abstract

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We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.

How to cite

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Ratnakumar, P., Rawat, Rama, and Thangavelu, S.. "A restriction theorem for the Heisenberg motion." Studia Mathematica 126.1 (1997): 1-12. <http://eudml.org/doc/216441>.

@article{Ratnakumar1997,
abstract = {We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.},
author = {Ratnakumar, P., Rawat, Rama, Thangavelu, S.},
journal = {Studia Mathematica},
keywords = {Hermite function; special Hermite function; Laguerre function; class-1 representation; Heisenberg motion group; Stein-Tomas restriction theorem; class-1 representations; Hermite projection operators},
language = {eng},
number = {1},
pages = {1-12},
title = {A restriction theorem for the Heisenberg motion},
url = {http://eudml.org/doc/216441},
volume = {126},
year = {1997},
}

TY - JOUR
AU - Ratnakumar, P.
AU - Rawat, Rama
AU - Thangavelu, S.
TI - A restriction theorem for the Heisenberg motion
JO - Studia Mathematica
PY - 1997
VL - 126
IS - 1
SP - 1
EP - 12
AB - We prove a restriction theorem for the class-1 representations of the Heisenberg motion group. This is done using an improvement of the restriction theorem for the special Hermite projection operators proved in [13]. We also prove a restriction theorem for the Heisenberg group.
LA - eng
KW - Hermite function; special Hermite function; Laguerre function; class-1 representation; Heisenberg motion group; Stein-Tomas restriction theorem; class-1 representations; Hermite projection operators
UR - http://eudml.org/doc/216441
ER -

References

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  11. [11] E. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, N.J., 1993. Zbl0821.42001
  12. [12] R. Strichartz, L p harmonic analysis and Radon transforms on the Heisenberg group, J. Funct. Anal. 96 (1991), 350-406. Zbl0734.43004
  13. [13] S. Thangavelu, Weyl multipliers, Bochner-Riesz means and special Hermite expansions, Ark. Mat. 29 (1991), 307-321. Zbl0765.42009
  14. [14] S. Thangavelu, Restriction theorems for the Heisenberg group, J. Reine Angew. Math. 414 (1991), 51-65. Zbl0708.43003
  15. [15] S. Thangavelu, Some restriction theorems for the Heisenberg group, Studia Math. 99 (1991), 11-21. Zbl0747.43003
  16. [16] S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, Princeton, N.J., 1993. 

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