Regularization of an indefinite abstract interpolation problem with a quadratic constraint

• Santiago Gonzalez Zerbo ^[1] ; Alejandra Maestripieri ^[1] ; Francisco Martínez Pería ^[2]
  1. [1] Universidad de Buenos Aires

     Universidad de Buenos Aires

     Argentina

     
  2. [2] Centro de Matemática de La Plata (CMaLP) – FCE-UNLP; Instituto Argentino de Matemática “Alberto P. Calderón” (CONICET), Argentina
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 475-490
• Idioma: inglés
• DOI: 10.33044/revuma.1956
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• Resumen

  • In this work we study an indefinite abstract smoothing problem. After establishing necessary and sufficient conditions for the existence of solutions, the set of admissible parameters is discussed in detail. Then, the relationship of this problem with a linearly constrained interpolation problem is analyzed.