ON BESSEL-RIESZ OPERATORS

Autores

  • Rubén A. Cerutti Facultad de Ciencias Exactas y Nturales y Agrimensura – UNNE

DOI:

https://doi.org/10.30972/fac.2306816

Palavras-chave:

, Bessel-Riesz potentials, fractional derivative, hypersingular integral

Resumo

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

Publicado

2023-08-12

Como Citar

Cerutti, R. A. (2023). ON BESSEL-RIESZ OPERATORS. FACENA, 23, 17–27. https://doi.org/10.30972/fac.2306816

Edição

Seção

Artículos Científicos