IJPAM: Volume 66, No. 4 (2011)
WITH THE FUNCTION P(2,x)
Faculty of Exact Sciences
National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA
e-mail: [email protected]
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. ), 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