On Bessel-Riesz operators

• Cerutti, Rubén A. ^[1]
  1. [1] Facultad de Ciencias Exactas y Nturales y Agrimensura – UNNE
• Localización: FACENA: Revista de la Facultad de Ciencias Exactas y Naturales y Agrimensura, ISSN 0325-4216, ISSN-e 1851-507X, Nº. 23, 2007, págs. 17-27
• Idioma: español
• Enlaces
  • Texto completo
• Resumen

  • We consider a class of conv olution operator denoted ϕα W obtained by convolution with a generalized function expressible in terms of the Bessel function on first kind γ J with argument the distribution ( ) P ± i0 . We study some elementary properties of the operator ϕα W like the semigroup property ϕ = ϕ α β α+β W W W ; and ( +m2 ) α α−2 W ϕ = W for α > 2 where ( +m2 ) is the Klein-Gordon ultrahyperbolic operator. Moreover we prove that the operator ϕα W may be consider as a negative power of the Klein-Gordon operato