On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle

Mathematical Notes

Volumn 63, Issue 1, 1996, Pages 61-71

  Leonov, A S ^a  

^a NATIONAL RESEARCH NUCLEAR UNIVERSITY MEPHI   (Russian Federation)

Author keywords

Bounded variation; Completely monotonous functions; Hardy class; Networks; Total variation

Indexed keywords

EID: 0347651641     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02316144     Document Type: Article

References (3)

1. J. A. Clarkson and C. R. Adams, "On the definition of bounded variation for functions of two variables," Trans. Amer. Math. Soc., 35, No. 4, 824-854 (1933).
2. A. G. Vitushkin, On Multidimensional Variations [in Russian], Gostekhizdat, Moscow (1955).
3. I. P. Natanson, The Theory of Functions of a Real Variable [in Russian], Nauka, Moscow (1974).