Sums of an entire function in certain weighted L2-spaces

• Autores: Bruno Brive
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 47, Nº 1, 2003, págs. 211-236
• Idioma: inglés
• DOI: 10.5565/publmat_47103_10
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• Resumen

  • We consider the functional equation f(z+σ)−f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.