Abstract
The aim of this study is to determine the systems that preserve the minimum phase property in signal processing. The minimum phase signals are closely related to outer functions. A basic mathematical question that arises in geophysical imaging is to characterize the linear operators preserving the set of outer functions in Hardy spaces. It is shown that a bounded linear operator on the Hardy space Hp, 1<p<∞, preserving the set of outer functions is necessarily a weighted composition operator. Moreover, an operator preserving the set of shifted outer functions is necessarily a weighted composition operator as well. These results complement work by Gibson and Lamoureux.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
