IJPAM: Volume 51, No. 3 (2009)
THE INVERSE ULTRAHYPERBOLIC BESSEL OPERATOR
AS A LINEAR COMBINATION
OF CAUSAL RIESZ DERIVATIVES
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: rcerutti@exa.unne.edu.ar
Departamento de Matemática
Facultad de Ciencias Exactas
Universidad Nacional del Nordeste
Avda. Libertad, 5540, Corrientes, 3400, ARGENTINA
e-mail: rcerutti@exa.unne.edu.ar
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