Premium
Spectral multipliers for Laplacians with drift on Damek–Ricci spaces
Author(s) -
Ottazzi Alessandro,
Vallarino Maria
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300268
Subject(s) - mathematics , multiplier (economics) , lie group , pure mathematics , lie algebra , exponential growth , mathematical analysis , economics , macroeconomics
We prove a multiplier theorem for certain Laplacians with drift on Damek–Ricci spaces, which are a class of Lie groups of exponential growth. Our theorem generalizes previous results obtained by W. Hebisch, G. Mauceri and S. Meda on Lie groups of polynomial growth.