Characterization of moment multisequences by a variation of positive definiteness

• Autores: Torben Maack Bisgaard
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 52, Fasc. 3, 2001, págs. 204-218
• Idioma: inglés
• Títulos paralelos:
  • Caracterización de secuencias múltiples de momento a través de la variación de definición positiva
• Enlaces
  • Texto completo
• Resumen

  • A functionφ:Nk0→Ris a moment (multi-)sequence if and only if the linearformLon the polynomial algebraR[x1,...,xk]defined byL(xn11...xnkk)=φ(n1,...,nk)is nonnegative on every polynomialpsuch that for some oddnatural numbermthe polynomialp(xm1,...,xmk)is a sum of squares of realpolynomials.

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