IJPAM: Volume 64, No. 3 (2010)
Faculty of Exact Sciences
National University of Northeast
Avda. Libertad, 5540, Corrientes, 3400, ARGENTINA
Abstract.In this paper the well-known one dimensional distribution is generalized for the distribution , where is a non degenerate quadratic form and is a real positive number.
Also we introduce the generalized functions
, and by
using a method by Gelfand and Shilov, the Fourier transform of this
new generalized function is obtained.
Received: June 17, 2010
AMS Subject Classification: 46F10
Key Words and Phrases: distribution theory, generalized functions connected with quadratic forms
Source: International Journal of Pure and Applied Mathematics