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
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