Uniqueness theory for Cesaro summable Haar series

1971 ◽  
Vol 38 (2) ◽  
pp. 221-227 ◽  
Author(s):  
William R. Wade
Keyword(s):  
Haar Series ◽  
Uniqueness Theory

Multipliers of double Fourier–Haar series

2021 ◽  
Vol 6 (3) ◽  
Author(s):  
N. T. Tleukhanova ◽  
E. D. Nursultanov ◽  
A. N. Bashirova
Keyword(s):  
Haar Series

scholarly journals Theoretical Study of a Chain Sliding on a Fixed Support

2009 ◽  
Vol 2009 ◽  
pp. 1-19 ◽  
Author(s):  
Jérôme Bastien ◽  
Claude-Henri Lamarque
Keyword(s):  
Dry Friction ◽  
Theoretical Study ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Rheological Models ◽  
Implicit Euler Scheme ◽  
Linear Spring ◽  
A Chain ◽  
Uniqueness Theory

A chain sliding on a fixed support, made out of some elementary rheological models (dry friction element and linear spring) can be covered by the existence and uniqueness theory for maximal monotone operators. Several behavior from quasistatic to dynamical are investigated. Moreover, classical results of numerical analysis allow to use a numerical implicit Euler scheme.

scholarly journals Existence and uniqueness regions for solutions of nonlinear equations

1978 ◽  
Vol 19 (2) ◽  
pp. 277-282 ◽  
Author(s):  
A.L. Andrew
Keyword(s):  
Nonlinear Equations ◽  
Existence And Uniqueness ◽  
Kantorovich Theorem ◽  
Potential Applications ◽  
Uniqueness Theory

A refinement of the Newton-Kantorovich Theorem, which has many-potential applications in existence - uniqueness theory, is used to strengthen a result of Lancaster and Rokne concerning existence and uniqueness regions for zeros of operator polynomials.

Reconstruction of martingales and applications to multiple Haar series

2018 ◽  
Vol 55 (4) ◽  
pp. 542-558
Author(s):  
Mamikon Ginovyan ◽  
Karen Keryan
Keyword(s):  
Haar Series

Reconstruction theorems for martingales with respect to regular filtration are proved provided that the majorant of the martingale satisfies some specified condition. The ob-tained results are applied to obtain formulas for restoration of coeffcients for multiple Haar series.

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