Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator

• KUNIO YOSHINO ^[1]
  1. [1] Tokyo City University

     Tokyo City University

     Japón

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 3, 2010, págs. 203-212
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000300013
• Enlaces
  • Texto completo
• Resumen
  • español

    Introducimos funciones generadas por los autovalores del operador de localización de Daubechies, estudiamos sus propiedades analíticas y damos continuación analítica de los autovalores. Haciendo uso de las funciones generadas, establecemos la fórmula de reconstrucción de funciones símbolo del operador de localización de Daubechies con símbolos rotacional invariante.

  • English

    In this paper we introduce generating functions of eigenvalues of Daubechies' localization operator, study their analytic properties and give analytic continuation of these eigenvalues. Making use of generating functions, we establish a reconstruction formula of symbol functions of Daubechies' localization operator with rotational invariant symbols.

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