DocumentCode :
1170779
Title :
Transformation of positive functions by linear operators
Author :
Talbot, Alan
Volume :
19
Issue :
5
fYear :
1972
fDate :
9/1/1972 12:00:00 AM
Firstpage :
460
Lastpage :
465
Abstract :
In an earlier paper the author proved a conjecture of Vowels: if 
is a positive function, so is 
, i.e., the positive property is preserved on differentiating the numerator and denominator. This paper generalizes this transformation process by the use of certain classes, of linear operators, both for general positive functions and for 2-element-type network functions, for which characterization theorems are first established.
is a positive function, so is , i.e., the positive property is preserved on differentiating the numerator and denominator. This paper generalizes this transformation process by the use of certain classes, of linear operators, both for general positive functions and for 2-element-type network functions, for which characterization theorems are first established.Keywords :
General analysis and synthesis methods; Lossless networks; Operator theory; Positive real functions; Image analysis; Impedance; Mathematics; Polynomials;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1972.1083518
Filename :
1083518
Link To Document :
