The shifted wave equation on Damek--Ricci spaces and on homogeneous trees

Jean-Philippe Anker; Pierre Martinot; Emmanuel Pedon; Alberto G. Setti

hal-00705135, version 3

The shifted wave equation on Damek--Ricci spaces and on homogeneous trees

Jean-Philippe Anker () ¹, Pierre Martinot () ², Emmanuel Pedon (, ) ³, Alberto G. Setti () ⁴

XXXV Convegno di Analisi Armonica (2011) 1-24

Abstract: We solve explicitly the shifted wave equation on Damek--Ricci spaces, using Asgeirsson's theorem and the inverse dual Abel transform. As an application, we investigate Huygens' principle. A similar analysis is carried out in the discrete setting of homogeneous trees.

1: Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
2: Institut Élie Cartan Nancy (IECN)
CNRS : UMR7502 – Université de Lorraine
3: Laboratoire de Mathématiques (LM-Reims)
CNRS : UMR6056 – Université de Reims - Champagne Ardenne
4: Dipartimento di Scienza e Alta Tecnologia
Università degli Studi dell'Insubria

hal-00705135, version 3
http://hal.archives-ouvertes.fr/hal-00705135
oai:hal.archives-ouvertes.fr:hal-00705135
From: Jean-Philippe Anker <>
Submitted on: Monday, 23 July 2012 08:50:50
Updated on: Thursday, 1 November 2012 07:29:44

See detailed view

Associated documents

PDF :

PS :

arXiv: 1206.1396

DOI: 10.1007/978-88-470-2853-1_1

Export

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="inproceedings"><head>Peer-reviewed conferences/proceedings</head>
<biblStruct type="inproceedings" xml:id="hal-00705135"><analytic>
<author><persName><forename>Jean-Philippe</forename><surname>Anker</surname></persName>
<affiliation>
<orgName type="laboratory">MAPMO</orgName>
<orgName type="team">Mathématiques - Analyse, Probabilités, Modélisation - Orléans</orgName>
<country>FR</country>
<orgName type="institution">Université d'Orléans</orgName>
<orgName type="institution">CNRS : UMR7349</orgName>
</affiliation>
</author>
<author><persName><forename>Pierre</forename><surname>Martinot</surname></persName>
<affiliation>
<orgName type="laboratory">IECN</orgName>
<orgName type="team">Institut Élie Cartan Nancy</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR7502</orgName>
<orgName type="institution">Université de Lorraine</orgName>
</affiliation>
</author>
<author><persName><forename>Emmanuel</forename><surname>Pedon</surname></persName>
<affiliation>
<orgName type="laboratory">LM-Reims</orgName>
<orgName type="team">Laboratoire de Mathématiques</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR6056</orgName>
<orgName type="institution">Université de Reims - Champagne Ardenne</orgName>
</affiliation>
</author>
<author><persName><forename>Alberto</forename><surname>Setti</surname></persName>
<affiliation>
<orgName type="team">Dipartimento di Scienza e Alta Tecnologia</orgName>
<country>IT</country>
<orgName type="institution">Università degli Studi dell'Insubria</orgName>
</affiliation>
</author>
<title type="main" level="a">The shifted wave equation on Damek--Ricci spaces and on homogeneous trees</title></analytic><monogr><title level="m" type="main">Trends in Harmonic Analysis (dedicated to A. Figà-Talamanca on the occasion of his retirement)</title><meeting>XXXV Convegno di Analisi Armonica</meeting><imprint><publisher>Springer-Verlag</publisher><pubPlace><settlement>Istituto Nazionale di Alta Matematica, Roma</settlement><country>Italy</country></pubPlace><biblScope type="publicationDate">2012-00-00</biblScope><biblScope type="pp">1-24</biblScope></imprint></monogr><idno type="doi">10.1007/978-88-470-2853-1_1</idno><idno type="HALid">http://hal.archives-ouvertes.fr/hal-00705135</idno><idno type="HALFile">http://hal.archives-ouvertes.fr/hal-00705135/PDF/AMPS.pdf</idno></biblStruct>
</listBibl>
</listBibl>