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Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

Editorial Board: Aldroubi, Akram / Anker, Jean-Philippe / Aouadi, Saloua / Bahouri, Hajer / Baklouti, Ali / Bakry, Dominique / Baraket, Sami / Ben Abdelghani, Leila / Begehr, Heinrich / Beznea, Lucian / Bezzarga, Mounir / Bonami, Aline / Demailly, Jean-Pierre / Fleckinger, Jacqueline / Gallardo, Leonard / Ismail, Mourad / Jarboui, Noomen / Jouini, Elyes / Karoui, Abderrazek / Kamoun, Lotfi / Kobayashi, Toshiyuki / Maday, Yvon / Marzougui, Habib / Mili, Maher / Mustapha, Sami / Ovsienko, Valentin / Peigné, Marc / Pouzet, Maurice / Radulescu, Vicentiu / Schwartz, Lionel / Sifi, Mohamed / Zaag, Hatem / Zarati, Said

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CiteScore 2017: 1.29

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Source Normalized Impact per Paper (SNIP) 2017: 0.409

Mathematical Citation Quotient (MCQ) 2016: 0.28

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ISSN
1869-6090
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Analogues to some uncertainty principles on certain solvable Lie groups

Ali Baklouti
Published Online: 2012-08-01 | DOI: https://doi.org/10.1515/apam-2012-0006

Abstract.

We formulate in this note some analogues of certain classical uncertainty principles in the setting of some solvable Lie groups. Some sharpness problems are also treated. The orbit method and the Plancherel theory turn out to be an important ingredient to prove such analogues. Some other Lie groups cases are also discussed.

Keywords: Solvable Lie subgroup; uncertainty principle; Plancherel formula; nilpotent Lie group

About the article

Received: 2011-09-15

Accepted: 2012-05-23

Published Online: 2012-08-01

Published in Print: 2012-08-01


Citation Information: Advances in Pure and Applied Mathematics, Volume 3, Issue 3, Pages 265–279, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2012-0006.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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