IJPAM: Volume 51, No. 3 (2009)

THE INVERSE ULTRAHYPERBOLIC BESSEL OPERATOR
$(B^{\alpha})^{-1}$ AS A LINEAR COMBINATION
OF CAUSAL RIESZ DERIVATIVES

Rubén Alejandro Cerutti
Departamento de Matemática
Facultad de Ciencias Exactas
Universidad Nacional del Nordeste
Avda. Libertad, 5540, Corrientes, 3400, ARGENTINA
e-mail: [email protected]


Abstract.In this paper the inverse causal ultrahyperbolic Bessel operator is expressed as a linear combination of causal Riesz derivative of different orders. This result generalize another one due to Samko (cf. [#!18!#]) related to the operator inverse to the Euclidean Bessel potentials.

Received: January 28, 2009

AMS Subject Classification: 46F10

Key Words and Phrases: ultrahyperbolic Bessel operator, Riesz derivative, Riesz potentials

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 3