International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 57-68
doi:10.1155/S0161171285000059
The general chain transform and self-reciprocal functions
Cyril Nasim
Department of Mathematics and Statistics, The University of Calgary, Calgary T2N IN4, Alberta, Canada
Abstract
A theory of a generalized form of the chain transforms of order n is developed, and various properties of these are established including the Parseval relation. Most known cases of the standard theory are derived as special cases. Also a theory of self-reciprocal functions is given, based on these general chain transforms; and relations among various classes of self-reciprocal functions are established.