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On an inverse filtration problem in the harmonic analysis of finite time records
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N. H. S. Haidar
Published/Copyright:
September 7, 2013
Abstract
- Variations in harmonic amplitudes of finite time records of certain recurrent functions f(t) ∈ L1, in Bochner’s sense, which are encountered e.g. in medical tonometry [1], are analyzed by means of the time-localization principle. The variations are proved to generate a reversed filtration process of the Kallman type. A new sequential “on line” smoothing algorithm is advanced to regularize this ill-posed problem in a weighted Sobolev space with regularizable exponential weight functions.
Published Online: 2013-09-07
Published in Print: 2002-06
© 2013 by Walter de Gruyter GmbH & Co.
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- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
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Articles in the same Issue
- CONTENTS
- On reconstruction of surfaces by shadow contours
- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
- Convergence rates of the continuous regularized Gauss—Newton method
- Generalized Arcangeli’s discrepancy principles for a class of regularization methods for solving ill-posed problems
- A constraints relaxation technique for solving an identification of coefficients problem issued from hydrodynamic lubrication
