International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 41620, 16 p.
doi:10.1155/IJMMS/2006/41620
Finite symmetric trilinear integral transform of distributions. II.
G.L. Waghmare
and S.V. More
Department of Mathematics, Institute of Science, MS Nagpur-440 001, India
Abstract
The finite symmetric trilinear integral transform is extended to distributions by using quite different technique than Zemanian (1968) and Dube (1976) and an inversion formula is established using Parseval's identity. The operational calculus generated is applied to find the temperature inside an equilateral prism of semi-infinite length.