Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform

• Autores: Fethi Soltani, Jihene Ben Rejeb
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 2, 2023, págs. 321-329
• Idioma: inglés
• DOI: 10.56754/0719-0646.2502.321
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• Resumen
  • español

    Resumen En este trabajo, combinando desigualdades de tipo Carlson y de tipo Nash para la transformada de Weinstein F W en 𝕂 = ℝd−1 × [0, ∞), demostramos desigualdades de incertidumbre de tipo Laeng-Morpurgo. Establecemos también desigualdades de incertidumbre de tipo local para la transformada de Weinstein F W, y deducimos una desigualdad de tipo Heisenberg-Pauli-Weyl para esta transformada.

  • English

    Abstract In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform F W on 𝕂 = ℝd−1 × [0, ∞), we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform F W , and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.

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