Abstract. We know from [5], p. 284 that the Fourier transform of P₊^λ and P_-^λ are given by the formulae (4) and (5) respectively. In this article using another method we obtain the Fourier transform of P₊^λ and P_-^λ, where P=P(x) is defined by (1), P₊^λ by (8) and P_-^λ by (9). We prove that our formulae (44) and (82) are equivalent to formulae (4) and (5), respectively.

Received: September 25, 2015

AMS Subject Classification: 46F10, 43A32

Key Words and Phrases: distributions, Fourier transform, ultrahyperbolic kernel

Download paper from here.

%Google Scholar; %DOI (International DOI Foundation); %WorldCAT.

This work is licensed under the Creative Commons Attribution International License (CC BY).