Sampling measures

• Autores: Joaquim Ortega Cerdà
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 42, Nº 2, 1998, págs. 559-566
• Idioma: inglés
• Títulos paralelos:
  • Medidas de muestreo
• Enlaces
  • Texto completo
• Resumen

  • We give a description of all measures such that for any function in a weighted Fock spaces the $L^p$ norm with respect to the measure is equivalent to the usual norm in the space. We do so by a process of discretization that reduces the problem to the description of sampling sequences. The same kind of result holds for weighted Bergman spaces and the Paley-Wiener space.