The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line

  1. Ciaurri, Ó. 1
  2. Roncal, L. 1
  3. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Integral Transforms and Special Functions

ISSN: 1065-2469

Datum der Publikation: 2015

Ausgabe: 26

Nummer: 9

Seiten: 728-736

Art: Artikel

DOI: 10.1080/10652469.2015.1038707 SCOPUS: 2-s2.0-84930577188 WoS: WOS:000355678700007 GOOGLE SCHOLAR

Andere Publikationen in: Integral Transforms and Special Functions

Institutionelles Repository: lock_openOpen Access Postprint

Projekte im Zusammenhang

Ortogonalidad y aproximación: teoría y aplicaciones en ciencia y tecnología

2013/00004/001

Zusammenfassung

We study the boundedness of the multiplier of the interval (Formula presented.) for the Dunkl transform of order (Formula presented.) on weighted (Formula presented.) spaces, with (Formula presented.). In particular, we get that it is bounded from (Formula presented.) into itself if and only if (Formula presented.) when (Formula presented.) or if and only if (Formula presented.) when (Formula presented.). © 2015 Taylor & Francis.