IJPAM: Volume 66, No. 4 (2011)
ON GENERALIZED FUNCTIONS CONNECTED
WITH THE FUNCTION P(2,x)
WITH THE FUNCTION P(2,x)
Rubén Alejandro Cerutti
Faculty of Exact Sciences
National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA
e-mail: rcerutti@exa.unne.edu.ar
Faculty of Exact Sciences
National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA
e-mail: rcerutti@exa.unne.edu.ar
Abstract.A new family of generalized functions associated with the function
is introduced. The functions of this family can be considered as a
generalization of the distributions
and others
introduced by Gelfand and Shilov (cf. [1]), where
is the non
degenerate quadratic form
.
The Fourier transform is obtained and elementary properties are studied.
Received: March 8, 2010
AMS Subject Classification: 46F10, 16F12
Key Words and Phrases: distribution theory, generalized function, quadratic forms
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 4