Book Volume 1792 2002

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

Authors:

ISBN: 978-3-540-44006-2 (Print) 978-3-540-45658-2 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages N2-viii

  2. No Access

    Chapter

    Pages 1-3

    Introduction

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    Chapter

    Pages 5-16

    1. Mathematical preliminaries

  4. No Access

    Chapter

    Pages 17-49

    2. Regularization of moment problems by truncated expansion and by the Tikhonov method

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    Chapter

    Pages 51-81

    3. Backus-Gilbert regularization of a moment problem

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    Chapter

    Pages 83-97

    4. The Hausdorff moment problem: regularization and error estimates

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    Chapter

    Pages 99-130

    5. Analytic functions: reconstruction and Sinc approximations

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    Chapter

    Pages 131-146

    6. Regularization of some inverse problems in potential theory

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    Chapter

    Pages 147-169

    7. Regularization of some inverse problems in heat conduction

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    Chapter

    Pages 171-173

    8. Epilogue

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    Chapter

    Pages 175-180

    References

  12. No Access

    Chapter

    Pages 181-183

    Index

  13. Back Matter

    Pages 185-185