scholarly journals Trace Representation of Weights on Algebras of Unbounded Operators

2000 ◽  
Vol 247 (1) ◽  
pp. 136-155 ◽  
Author(s):  
Atsushi Inoue ◽  
Klaus-Detlef Kürsten
Keyword(s):  
Unbounded Operators ◽  
Trace Representation

A Simpler Trace Representation of Legendre Sequences

2015 ◽  
Vol E98.A (4) ◽  
pp. 1026-1031 ◽  
Author(s):  
Minglong QI ◽  
Shengwu XIONG ◽  
Jingling YUAN ◽  
Wenbi RAO ◽  
Luo ZHONG
Keyword(s):  
Trace Representation

Regularization of Some One-Dimensional Inverse Problems for Identification of Nonlinear Surface Phenomena

1995 ◽  
Author(s):  
C. W. Groetsch ◽  
Martin Hanke
Keyword(s):  
Inverse Problems ◽  
Model Identification ◽  
Surface Phenomena ◽  
Unbounded Operators ◽  
General Technique ◽  
Regularization Technique ◽  
One Dimensional ◽  
Data Errors ◽  
Ill Posed ◽  
Nonlinear Surface

Abstract A simple numerical method for some one-dimensional inverse problems of model identification type arising in nonlinear heat transfer is discussed. The essence of the method is to express the nonlinearity in terms of an integro-differential operator, the values of which are approximated by a linear spline technique. The inverse problems are mildly ill-posed and therefore call for regularization when data errors are present. A general technique for stabilization of unbounded operators may be applied to regularize the process and a specific regularization technique is illustrated on a model problem.

Functional Calculus for Unbounded Operators

1990 ◽  
pp. 323-340
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Marinus A. Kaashoek
Keyword(s):  
Functional Calculus ◽  
Unbounded Operators

General Theory of Unbounded Operators in Hilbert Spaces

1996 ◽  
pp. 1-40
Author(s):  
Yurij M. Berezansky ◽  
Zinovij G. Sheftel ◽  
Georgij F. Us
Keyword(s):  
General Theory ◽  
Hilbert Spaces ◽  
Unbounded Operators
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