Spectral multipliers on metabelian groups.

Hebisch, Waldemar. "Spectral multipliers on metabelian groups.." Revista Matemática Iberoamericana 16.3 (2000): 597-604. <http://eudml.org/doc/39619>.

@article{Hebisch2000,
abstract = {Let G be a Lie group, Xj right invariant vector fields on G, which generate (as a Lie algebra) the Lie algebra of G,L = -Σ Xj2.(...) In this paper we consider L1(G) boundedness of F(L) for (some) metabelian G and a distinguished L on G. Of the main interest is that the group is of exponential growth, and possibly higher rank. Previously positive results about higher rank groups were only about Iwasawa type groups. Also, our groups may be unimodular, so it is the second positive result (after [13]) about unimodular groups, and the first giving a family of examples.},
author = {Hebisch, Waldemar},
journal = {Revista Matemática Iberoamericana},
keywords = {Multiplicadores; Grupos de Lie; Lie group; metabelian group; spectral multiplier; sublaplacian},
language = {eng},
number = {3},
pages = {597-604},
title = {Spectral multipliers on metabelian groups.},
url = {http://eudml.org/doc/39619},
volume = {16},
year = {2000},
}

TY - JOUR
AU - Hebisch, Waldemar
TI - Spectral multipliers on metabelian groups.
JO - Revista Matemática Iberoamericana
PY - 2000
VL - 16
IS - 3
SP - 597
EP - 604
AB - Let G be a Lie group, Xj right invariant vector fields on G, which generate (as a Lie algebra) the Lie algebra of G,L = -Σ Xj2.(...) In this paper we consider L1(G) boundedness of F(L) for (some) metabelian G and a distinguished L on G. Of the main interest is that the group is of exponential growth, and possibly higher rank. Previously positive results about higher rank groups were only about Iwasawa type groups. Also, our groups may be unimodular, so it is the second positive result (after [13]) about unimodular groups, and the first giving a family of examples.
LA - eng
KW - Multiplicadores; Grupos de Lie; Lie group; metabelian group; spectral multiplier; sublaplacian
UR - http://eudml.org/doc/39619
ER -