Hörmander type multiplier theorem on complex Iwasawa AN groups

W. Hebisch

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 2, page 587-591
  • ISSN: 0010-1354

Abstract

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We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.

How to cite

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W. Hebisch. "Hörmander type multiplier theorem on complex Iwasawa AN groups." Colloquium Mathematicae 118.2 (2010): 587-591. <http://eudml.org/doc/283692>.

@article{W2010,
abstract = {We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.},
author = {W. Hebisch},
journal = {Colloquium Mathematicae},
keywords = {multiplier theorem; exponential growth group},
language = {eng},
number = {2},
pages = {587-591},
title = {Hörmander type multiplier theorem on complex Iwasawa AN groups},
url = {http://eudml.org/doc/283692},
volume = {118},
year = {2010},
}

TY - JOUR
AU - W. Hebisch
TI - Hörmander type multiplier theorem on complex Iwasawa AN groups
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 587
EP - 591
AB - We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.
LA - eng
KW - multiplier theorem; exponential growth group
UR - http://eudml.org/doc/283692
ER -

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