title: Fractal self-transform functions.
abstract: The concept of fractal (self-similar) self-transform functions is examined. A general method to prove existence of these functions is introduced, and necessary conditions for this existence are derived. The results are general and apply to all transforms with product-type kernels.
authors.affiliation: Engineering Sciences and Applied Mathematics, McCormick School of Engineering, Northwestern University, Evanston, IL 60208, USA. theodoros.horikis@colorado.edu
authors.forename: Theodoros P
authors.initials: TP
authors.lastname: Horikis