Cover Image
Read Now

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

Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccu...

Full description

Bibliographic Details
Main Authors: Ang, Dang D., Gorenflo, Rudolf (Author), Le, Vy K. (Author), Trong, Dang D. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Mathematics
Subjects:
Integral Equations
Functions Of Complex Variables
Mathematical Analysis
Potential Theory (mathematics)
Integral Transforms And Operational Calculus
Functions Of A Complex Variable
Operator Theory
Differential Equations
Potential Theory
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Mathematical Preliminaries
  • Regularization of moment problems by trancated expansion and by the Tikhonov method
  • Backus-Gilbert regularization of a moment problem
  • The Hausdorff moment problem: regularization and error estimates
  • Analytic functions: reconstruction and Sinc approximations
  • Regularization of some inverse problems in potential theory
  • Regularization of some inverse problems in heat conduction
  • Epilogue
  • References
  • Index

Similar Items