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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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Volume 27, Issue 4 (Jul 2015)

Issues

Multivariate spectral multipliers for the Dunkl transform and the Dunkl harmonic oscillator

Błażej Wróbel
Published Online: 2013-09-12 | DOI: https://doi.org/10.1515/forum-2013-0039

Abstract

In the case G=2d, we prove a multivariate Marcinkiewicz-type multiplier theorem for the Dunkl transform and a multivariate Marcinkiewicz-type multiplier theorem for the system of Dunkl harmonic oscillators.

Keywords: Multiplier operator; Dunkl transform; Dunkl harmonic oscillator

MSC: 42B15; 43A32; 42C10

About the article

Received: 2013-03-15

Revised: 2013-07-11

Published Online: 2013-09-12

Published in Print: 2015-07-01


Funding Source: Polish funds for sciences

Award identifier / Grant number: NCN Research Project 2011/01/N/ST1/01785


Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2013-0039.

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