International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 41620, 16 pages
Finite symmetric trilinear integral transform of
distributions. Part II
Department of Mathematics, Institute of Science, MS Nagpur-440 001, India
Received 30 December 2004; Revised 12 April 2006; Accepted 25 April 2006
Copyright © 2006 G. L. Waghmare and S. V. More. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.